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The research is located in the scientific area of Mathematics, with an emphasis on Mathematical Analysis, Numerical Analysis and Computational Methods for Partial Differential Equations and Ordinary Differential Equations, with applications related to the Mathematics of Fluid Mechanics. More specifically, development and analysis of one-dimensional models (in particular obtained by Cosserat theory) for incompressible Newtonian and non-Newtonian fluids, considering the flow of a fluid in straight and curved tubes with a circular section. Fluid-structure interaction problems. Applications to hemodynamics. At the moment, ongoing scientific research is concentrated on the flow of fluids in curved tubes with a circular section, on the problem of fluid-structure interaction and, also, on problems with integral differential equations.
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Identification

Personal identification

Full name
Fernando Manuel Lucas Carapau

Citation names

  • Carapau, Fernando

Author identifiers

Ciência ID
7317-7FD0-3BDE
ORCID iD
0000-0002-3164-113X
Google Scholar ID
https://scholar.google.com/citations?hl=pt-PT&user=nDq3J0MAAAAJ
Researcher Id
G-7927-2019
Scopus Author Id
10840288300

Telephones

Telephone
  • 266745370 (Professional)

Addresses

  • Universidade de Évora, Departamento de Matemática, Colégio Luís António Verney, Rua Romão Ramalho n.º 59, gabinete 254-CLAV, 7000-671 , Évora, Évora, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics - Applied Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
French Beginner (A1) Beginner (A1) Beginner (A1) Beginner (A1) Beginner (A1)
Spanish; Castilian Beginner (A1) Beginner (A1) Beginner (A1) Beginner (A1) Beginner (A1)
Education
Degree Classification
2005/05/05
Concluded
 Matemática (Doutoramento)
Major in Não Aplicável
Universidade de Lisboa Instituto Superior Técnico, Portugal
"Development of 1D Fluid Models Using the Cosserat Theory. Numerical Simulations and Applications to Haemodynamics," (THESIS/DISSERTATION)
1996 - 1998/01/16
Concluded
 Provas de Aptidão Pedagógica e Capacidade Científica: Uma Introdução ao Método dos Elementos Finitos (Outros)
Major in Área de especialização: Matemática e Aplicações
Universidade de Évora Escola de Ciências e Tecnologia, Portugal
1988 - 1992
Concluded
 Matemática (Licenciatura)
Major in Análise
Universidade de Évora, Portugal
"Equações não Lineares da Física Matemática" (THESIS/DISSERTATION)
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2021/10/25 - Current Associate Professor (University Teacher) Universidade de Évora, Portugal
2005/05/06 - 2021/10/24 Assistant Professor (University Teacher) Universidade de Évora Escola de Ciências e Tecnologia, Portugal
1998/01/17 - 2005/05/05 Assistant (University Teacher) Universidade de Évora Departamento de Matemática, Portugal
Universidade de Évora Departamento de Matemática, Portugal
1992/12/21 - 1998/01/16 Trainee Assistant (University Teacher) Universidade de Évora Departamento de Matemática, Portugal
Universidade de Évora Departamento de Matemática, Portugal
1991/10/01 - 1992/12/20 Tutor (University Teacher) Universidade de Évora, Portugal
Universidade de Évora, Portugal

Positions / Appointments

Category
Host institution 		Employer
2023/06 - Current Membro da Assembleia da ECT Universidade de Évora, Portugal
Universidade de Évora, Portugal
2022 - Current Membro da Comissão de Curso da Licenciatura em Matemática Universidade de Évora, Portugal
Universidade de Évora, Portugal
2022 - Current Director de Curso da Licenciatura em Matemática Universidade de Évora, Portugal
Universidade de Évora, Portugal
2022 - Current Secretário do Conselho Científico da ECT Universidade de Évora, Portugal
Universidade de Évora, Portugal
2021/04/14 - Current Membro do Conselho Científico do IIFA Universidade de Évora, Portugal
Universidade de Évora, Portugal
2019/01 - Current Membro do Conselho Científico da ECT Universidade de Évora, Portugal
Universidade de Évora, Portugal
2008 - Current Membro da Assembleia do Departamento de Matemática da Universidade de Évora Universidade de Évora, Portugal
Universidade de Évora, Portugal
2019 - 2023 Director do Departamento de Matemática Universidade de Évora, Portugal
Universidade de Évora, Portugal
2019 - 2023 Presidente da Assembleia do Departamento de Matemática da Universidade de Évora Universidade de Évora, Portugal
Universidade de Évora, Portugal
2019 - 2023 Membro do Conselho Consultivo da ECT Universidade de Évora, Portugal
Universidade de Évora, Portugal
2019 - 2022/01/11 Membro da Assembleia da ECT Universidade de Évora, Portugal
Universidade de Évora, Portugal
2018 - 2022 Coordenador Científico da Linha/Grupo de Investigação do CIMA-UE Universidade de Évora, Portugal
Universidade de Évora, Portugal
2020/12/13 - 2021/12/13 Membro do Conselho Geral Universidade de Évora, Portugal
Universidade de Évora, Portugal
2017 - 2018 Membro da Comissão de Curso da Licenciatura em Matemática Aplicada Universidade de Évora, Portugal
Universidade de Évora, Portugal
2008 - 2009 Membro da Comissão de Curso da Licenciatura em Engenharia Mecatrónica Universidade de Évora, Portugal
Universidade de Évora, Portugal
2005 - 2008 Membro do Conselho Científico da área Departamental de Ciências Exactas Universidade de Évora, Portugal
Universidade de Évora, Portugal
2005 - 2008 Membro da Comissão Coordenadora do Conselho Científico da área de Ciências Exatas Departamental Universidade de Évora, Portugal
Universidade de Évora, Portugal
2005 - 2008 Secretário do Conselho Científico da área Departamental de Ciências Exatas Universidade de Évora, Portugal
Universidade de Évora, Portugal
Projects

Contract

Designation Funders
2019/01/01 - 2019/12/31 Centro de Investigação em Matemática e Aplicações
UID/MAT/04674/2019
Universidade de Évora, Portugal

Universidade de Évora Centro de Investigação em Matemática e Aplicações, Portugal

Universidade da Madeira, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2019/01/01 - 2019/12/31 Centro de Matemática Computacional e Estocástica
UID/Multi/04621/2019
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal

FCiênciasID Associação para a Investigação e Desenvolvimento de Ciências, Portugal

Universidade de Lisboa Instituto Superior Técnico, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2013/12/31 Projecto Estratégico - UI 117 - 2011-2012
PEst-OE/MAT/UI0117/2011
Universidade de Évora, Portugal

Universidade de Évora Centro de Investigação em Matemática e Aplicações, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2013/12/31 Projecto Estratégico - UI 822 - 2011-2012
PEst-OE/MAT/UI0822/2011
Universidade Nova Centro de Matemática e Aplicações, Portugal

Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal

Universidade de Lisboa Instituto Superior Técnico, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2009/05/15 - 2013/11/14 Reaction-Diffusion in Porous Media
UTAustin/MAT/0066/2008
Universidade de Coimbra, Portugal

Universidade de Coimbra Centro de Matemática, Portugal

The University of Texas at Austin, United States

Universidade de Évora, Portugal

Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2007/06/01 - 2010/10/02 Multiscale Mathematical Models in Biomedicine
PTDC/MAT/68166/2006
Universidade de Lisboa Instituto Superior Técnico, Portugal

Universidade Nova Centro de Matemática e Aplicações, Portugal

Universidade de Lisboa Instituto de Medicina Molecular João Lobo Antunes, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2005/06/01 - 2007/12/31 Analysis of mathematical models for the movement of rigid bodies in incompressible fluids
POCI/MAT/61792/2004
Universidade de Lisboa Instituto Superior Técnico, Portugal

Universidade Nova Centro de Matemática e Aplicações, Portugal

Universidade de Évora, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2002 - 2006 Mathematical and Numerical Modelling of the Human Cardiovascular System
Project FCT/POCTI/MAT/41898/2001
Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2002 - 2006 Mathematical and Numerical Modelling in Haemodynamics
Project HaeMOdel/HPRN-CT-2002-00270,
Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal
Concluded
2001 - 2005 Multiscale Models of Blood Flow in the Cerebral Vasculature
Project Western Europe Program of NSF 0104680
Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal
Concluded
2001 - 2004 Analysis no-linear and Dynamical Systems
FCT/POCTI/MAT/199/94/2001
Universidade de Évora Centro de Investigação em Matemática e Aplicações, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book
  1. Minhós, Feliz; Bezzeghoud, Mourad; Abreu, Salvador; Carapau, Fernando; Correira, Paulo. Book of Abstracts: International Workshop on Mathematics and Physical Sciences (ISBN: 978-972-778-320-5). Universidade de Évora. 2023.
    Published
  2. Minhós, Feliz; Carapau, Fernando; Correia, Paulo; Bandeira, Luís. Book of Abstracts: International Conference on Nonlinear Differential Equations and Applications (ISBN:978-972-778-275-8). Universidade de Évora. 2022.
    Published
  3. Carapau, Fernando; Vaidya, Ashwin. Recent Advances in Mechanics and Fluid-Structure Interaction with Applications (ISBN:978-3-031-14323-6). Springer Nature-Birkhauser. 2022.
    Published • 10.1007/978-3-031-14324-3
  4. Grilo, Luís M.; Nata, Ana; Fernandes, Manuela; Pitacas, Isabel; Carapau, Fernando; Gonçalves, A. Manuela; Oliveira, Teresa A.. Book of Abstracts: VII Workshop on Computational Data Analysis and Numerical Methods (ISBN:978-989-8840-47-9). Instituto Politécnico de Tomar, Quinta do Contador-Estrela da Serra, 2300-313 Tomar. 2020.
    Published
  5. Simões, A. M.; Nunes, Célia; Inácio, Ilda; Grilo, Luis; Carapau, Fernando. Book of Abstracts: VI Workshop on Computational Data Analysis and Numerical Methods: Book of Abstracts (ISBN:978-989-654-545-1). DMAT, UBI. 2019.
    Published
  6. Gomes, C.P.; Araújo, A.; Bezzeghoud, M; Hortense Santos, M.; Carapau, F.. Book of Abstracts: III Congresso Luso-Extremadurense de Ciências e Tecnologia (ISBN 978-972-778-133-1 (print), ISBN 978-972-778-134-8 (online)). Universidade de Évora. 2019.
    Published
  7. Correia, Aldina; Silva, Eliana Costa e; Almeida, Fátima De; Grilo, Luís M.; Carapau, Fernando. Book of Abstracts: V Workshop on Computational Data Analysis and Numerical Methods: Book of Abstracts (ISBN: 978-989-98447-6-6 ). Instituto Politécnico do Porto, Escola Superior de Tecnologia e Gestão. 2018.
    Published
  8. Oliveira, Teresa; Oliveira, Amilcar; Grilo, Luís; Carapau, Fernando; Dias, Cristina; Santos, Carla. Book of Abstracts: Satellite meeting ISI-committee on risk analysis and XI Workshop on Statistics, Mathematics and Computation (ISBN-978-989-8806-18-5). Instituto Politécnico de Portalegre (IPP). 2017.
    Published
  9. Gomes, C.P.; Araújo, A.; Bezzeghoud, M.; Carapau, F.. Book of Abstracts: I Congresso Luso-Extremadurense de Ciências e Tecnologia (ISBN-978-989-8550-45-3). Universidade de Évora. 2017.
    Published
  10. Grilo, L.M.; Carapau, F.; Santos, C.; Dias, C.. Book of Abstracts: IV Workshop on Computational Data Analysis and Numerical Methods (ISBN-978-989-8008-28-2 (print), ISBN-978-989-8008-29-9 (online). Instituto Politécnico de Beja. 2017.
  11. Santos, Carla; Dias, Cristina; Carapau, F.; Grilo, Luis. Book of Abstracts: III Workshop on Computational Data Analysis and Numerical Methods (ISBN-978-989-8806-12-3). Instituto Politécnico de Portalegre. 2016.
    Published
  12. Carapau, F.. Exercícios sobre Primitivas e Integrais (ISBN:978-972-618-764-6). Edições Sílabo. 2014.
    Published
  13. Carapau, Fernando. Exercícios sobre Primitivas (ISBN: 978-989-20-3131-6). Publidisa. 2011.
    Published
  14. Carapau, Fernando; Sequeira, Adélia; Janela, João. Book of Abstracts: Mathematical Fluid Mechanics, a Tribute to Giovanni Paolo Galdi (ISBN-978-989-20-0549-2). 2007.
    Published
  15. Carapau, F.. Primitivas, Integrais e suas Aplicações (ISBN-989-20-0360-8). Publidisa. 2006.
    Published
  16. Carapau, F.. Matemática I (ISBN-972-778-082-2). Universidade de Évora. 2005.
    Published
Book chapter
  1. Carlos Ramos; Fernando Carapau; Paulo Correia. "Cellular Automata Describing Non-equilibrium Fluids with Non-mixing Substances". In Recent Advances in Mechanics and Fluid-Structure Interaction with Applications, Springer Nature-Birkhauser, 1ª Edição, 375pp, ISBN:978-3-031-14323-6, 2022. 2022.
    Published • 10.1007/978-3-031-14324-3_10
  2. Fernando Carapau; Paulo Correia; Pedro Areias. "Three-Dimensional Velocity Field Using the Cross-Model Viscosity Function". In Recent Advances in Mechanics and Fluid-Structure Interaction with Applications, Springer Nature-Birkhauser, 1ª Edição, 375pp, ISBN:978-3-031-14323-6, 2022. 2022.
    Published • 10.1007/978-3-031-14324-3_2
  3. Areias, Pedro; Carapau, Fernando; Carrilho Lopes, José; Rabczuk, Timon. "Consistent C Element-Free Galerkin Method for Finite Strain Analysis". In Recent Advances in Mechanics and Fluid-Structure Interaction with Applications. Springer Nature-Birkhauser, 2022.
    Published • 10.1007/978-3-031-14324-3_6
  4. Carapau, Fernando; Sequeira, Adélia. "1D dynamics of a second-grade viscous fluid in a constricted tube". In Banach Center Publications, Institute of Mathematics, Polish Academy of Sciences (https://mathscinet.ams.org/mathscinet/article?mr=2549325), 95-103. 2006.
    Published
  5. Carapau, F.; Sequeira, A.. "Axisymmetric motion of a second order viscous fluid in a circular straight tube under pressure gradients varying exponentially with time". In WIT Transactions on Engineering Sciences (ISBN: 1845641639, ISBN:978-184564163-4), 409-419. 2006.
    Published • 10.2495/AFM06041
Conference paper
  1. Carapau, Fernando; Correia, Paulo; Grilo, Luís M.. "Specific shear-dependent viscoelastic third-grade fluid model". Paper presented in ICCMSE 17-24 March, Athens, Greece, AIP Conference Proceeding, 2016.
    Published • 10.1063/1.4968737
  2. Carapau, Fernando. "1D model of swirling flow motion of a viscous fluid in a circular straight tapered tube". Paper presented in Proceedings of the International Conference on Topical Problems of Fluid Mechanics,Institute of Thermomechanics AS CR, Prague, Czech Republic, February 25-26, pp. 17-20, 2009, 2009.
    Published
  3. Carapau, Fernando. "Average Pressure Gradient of Swirling Flow Motion of a Viscoelastic Fluid in a Circular Straight Tube with Constant Radius". Paper presented in Proceedings of the International Conference on Mechanical Engineering, WCE-2009, Imperial College London, London, U.K., 2009.
    Published
  4. Carapau, Fernando. "1D simulations of shear-thinning fluids with applications to blood flow". Paper presented in Proceedings of the International Conference on Topical Problems of Fluid Mechanics, Institute of Thermomechanics AS CR, Prague, Czech Republic, February 20-22, pp. 13-16, 2008, 2008.
    Published
  5. Carapau, Fernando. "Perturbed flows of a second-order fluid in a uniform straight tube". Paper presented in Proceedings of the International Conference on System Science and Simulation in Engineering, Venice, Italy, November 21-23, pp. 365-371, 2008, 2008.
    Published
  6. Carapau, Fernando. "Numerical simulations of a second-order fluid with normal stress coefficients depending on the shear rate". Paper presented in Proceedings of the American Conference on Applied Mathematics, University of Harvard, Cambridge, MA, USA, March 24-26, pp. 389-395, 2008, 2008.
    Published
  7. Carapau, Fernando; Sequeira, Adélia. "Swirling motion of a second-order viscous fluid in a straight tube". Paper presented in Proceedings of the International Conference on Topical Problems of Fluid Mechanics, Institute of Thermomechanics AS CR, Prague, Czech Republic, February 28 to March 2, pp. 21-24, 2007, 2007.
    Published
  8. Carapau, Fernando; Janela, João; Sequeira, Adélia. "A hyper-viscosity numerical method for the interaction of a shear-dependent fluid with a rigid body". Paper presented in Proceedings of the 2006 IASME/WSEAS International Conference on Continuum Mechanics, Chalkida, Greece, 2006.
    Published
  9. Carapau, Fernando; Sequeira, Adélia. "Unsteady flow of Oldroyd-B fluids in an uniform rectilinear pipe using 1D models". Paper presented in Proceedings of the 2006 IASME/WSEAS International Conference on Continuum Mechanics, Chalkida, Greece, May 11-13, pp. 61-66, 2006, 2006.
    Published
  10. Carapau, Fernando; Sequeira, Adélia; Janela, João. "Numerical simulation of generalized second-grade fluids using a 1D hierarchical model". Paper presented in Proceedings of the 10th WSEAS International Conference on Applied Mathematics, Dallas, Texas, USA, November 1-3, pp. 337-342, 2006, 2006.
    Published
  11. Carapau, Fernando; Sequeira, Adélia. "Axisymmetric Flow of a Generalized Newtonian Fluid in a Straight Pipe Using a Director Theory Approach". Paper presented in Proceedings of the 8th WSEAS International Conference on Applied Mathematics, Tenerife, Spain, 2005.
    Published
Journal article
  1. Minhós, F.; Carapau, F.; Rodrigues, G.. "Coupled systems with Ambrosetti-Prodi-type differential equations". AIMS Mathematics 8 8 (2023): 19049-19066. http://dx.doi.org/10.3934/math.2023972.
    Published • 10.3934/math.2023972
  2. Pedro Areias; Rui Melicio; Fernando Carapau; José Carrilho Lopes. "Finite Gradient Models with Enriched RBF-Based Interpolation". Mathematics (2022): https://doi.org/10.3390/math10162876.
    Published • 10.3390/math10162876
  3. Alberto M. Simões; Fernando Carapau; Paulo Correia. "New Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential Equations". Symmetry (2021): https://doi.org/10.3390/sym13112068.
    Published • 10.3390/sym13112068
  4. F. Carapau; P. Correia; T. Rabczuk; P. Areias. "One-dimensional model for the unsteady flow of a generalized third-grade viscoelastic fluid". Neural Computing and Applications 32 16 (2020): 12881-12894. https://doi.org/10.1007/s00521-020-04733-w.
    Published • 10.1007/s00521-020-04733-w
  5. Areias, P.; Tiago, C.; Lopes, J. Carrilho; Carapau, Fernando; Correia, Paulo. "A finite strain Raviart-Thomas tetrahedron". European Journal of Mechanics - A/Solids 80 (2020): 103911. http://dx.doi.org/10.1016/j.euromechsol.2019.103911.
    Published • 10.1016/j.euromechsol.2019.103911
  6. Areias, P.; Rabczuk, T.; Carapau, F.; Lopes, J. Carrilho. "A continuous-stress tetrahedron for finite strain problems". Finite Elements in Analysis and Design 165 (2019): 52-64. http://dx.doi.org/10.1016/j.finel.2019.07.003.
    Published • 10.1016/j.finel.2019.07.003
  7. Carapau, Fernando; Janela, João; Correia, Paulo; Vila, Santiago. "Numerical Solvability of a Cosserat Model for the Swirling Motion of a Third-grade Fluid in a Constant Radius Straight Circular Tube". Int. J. Appl. Math. Stat. 57 2 (2018): 1-15. http://hdl.handle.net/10174/21584.
    Published
  8. Carapau, Fernando; Conceição, Ricardo. "Three-Dimensional Velocity Field for Blood Flow Using the Power-Law Viscosity Function". WSEAS Transactions on Heat and Mass Transfer 13 (2018): 35-48. http://hdl.handle.net/10174/23872.
    Published
  9. Carapau, Fernando; Correia, Paulo. "Numerical simulations of a third-grade fluid flow on a tube through a contraction". European Journal of Mechanics - B/Fluids 65 (2017): 45-53. http://dx.doi.org/10.1016/j.euromechflu.2017.02.006.
    Published • 10.1016/j.euromechflu.2017.02.006
  10. Carapau, Fernando; Correia, Paulo; Grilo, Luís M.; Conceição, Ricardo. "Axisymmetric Motion of a Proposed Generalized Non-Newtonian Fluid Model with Shear-dependent Viscoelastic Effects". IAENG International Journal of Applied Mathematics 47 4 (2017): 361-370. http://hdl.handle.net/10174/21583, https://www.scopus.com/record/display.uri?eid=2-s2.0-85034081173&origin=resultslist.
    Published
  11. Carapau, Fernando; Correia, Paulo. "One-dimensional model for fluids of third-grade in tubes with constant radius". International Journal of Applied Mathematics and Statistic 55 3 (2016): 1-13. http://hdl.handle.net/10174/19638, https://mathscinet.ams.org/mathscinet/article?mr=3530073.
    Published
  12. Carapau, F.; Janela, J.. "A one-dimensional model for unsteady axisymmetric swirling motion of a viscous fluid in a variable radius straight circular tube". International Journal of Engineering Science 72 (2013): 107-116. http://www.scopus.com/inward/record.url?eid=2-s2.0-84883417828&partnerID=MN8TOARS.
    Published • 10.1016/j.ijengsci.2013.06.010
  13. Carapau, F.. "One-dimensional viscoelastic fluid model where viscosity and normal stress coefficients depend on the shear rate". Nonlinear Analysis: Real World Applications 11 5 (2010): 4342-4354. http://www.scopus.com/inward/record.url?eid=2-s2.0-77955509494&partnerID=MN8TOARS.
    Published • 10.1016/j.nonrwa.2010.05.020
  14. Carapau, Fernando. "1D viscoelastic flow in a circular straight tube with variable radius". International Journal of Applied Mathematics and Statistics 19 D10 (2010): 20-39. http://www.scopus.com/inward/record.url?eid=2-s2.0-77954859075&partnerID=MN8TOARS.
    Published
  15. Carapau, Fernando. "Axisymmetric Swirling Motion of Viscoelastic Fluid Flow Inside a Slender Surface of Revolution". Engineering Letters 17 4 (2009): 238-245. http://hdl.handle.net/10174/5560, https://www.scopus.com/record/display.uri?eid=2-s2.0-71649096590&origin=resultslist.
    Published
  16. Carapau, Fernando. "Analysis of perturbed flows of a second-order fluid using a 1D hierarchical model". Inter. Journal of Mathematics and Computers in Simulation 2 3 (2008): 256-263. http://hdl.handle.net/10174/5561.
    Published
  17. Carapau, Fernando. "Axisymmetric motion of a generalized Rivlin-Ericksen fluids with shear-dependent normal stress coefficients". Inter. Journal of Mathematical Models and Methods in Applied Sciences 2 2 (2008): 168-175. http://hdl.handle.net/10174/5563.
    Published
  18. Carapau, F.; Sequeira, A.; Janela, J.. "1D simulations of second-grade fluids with shear-dependent viscosity". WSEAS Transactions on Mathematics 6 1 (2007): 151-158. http://www.scopus.com/inward/record.url?eid=2-s2.0-33751561127&partnerID=MN8TOARS.
    Published
  19. Janela, J.; Sequeira, A.; Carapau, F.. "Numerical simulation of the motion of rigid particles in generalized Newtonian fluids using a hyper-viscosity method". WSEAS Transactions on Mathematics 5 4 (2006): 366-373. http://www.scopus.com/inward/record.url?eid=2-s2.0-33744545818&partnerID=MN8TOARS.
    Published
  20. Carapau, Fernando; Sequeira, Adélia. "Unsteady flow of a generalized Oldroyd-B fluid using a director theory approach". WSEAS Transactions on Fluid Mechanics 1 2 (2006): 167-174. http://hdl.handle.net/10174/1226.
    Published
  21. Carapau, F.; Sequeira, A.. "1D Models for Blood Flow in Small Vessels Using the Cosserat Theory". WSEAS Transactions on Mathematics 5 1 (2006): 54-62. http://hdl.handle.net/10174/1054, https://www.scopus.com/record/display.uri?eid=2-s2.0-29944446763&origin=resultslist.
    Published
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2023/01/30 Three-dimensional velocity field for blood flow using the power-law viscosity function Comunicações em seminários: Instituto Superior de Economia e Gestão (ISEG), dia 30 de janeiro de 2023, no âmbito dos seminários regulares do ISEG/DMAT
ISEG (Lisboa, Portugal)
2023/01 Numerical simulations of a third-grade fluid flow on a tube through a contraction Workshop Mathematics and Applications, January 25th-27th, University of Costa Rica, 2023
University of Costa Rica (Puntarenas, Costa Rica)
2019/06 Three-dimensional velocity field for blood flow using the power-law viscosity function VI Workshop on Computational Data Analysis and Numerical Methods, University of Beira Interior, 27-29 June, 2019, Covilhã, Portugal
Universidade da Beira Interior (Covilhã, Portugal)
2019/05/05 Three-dimensional velocity field for blood flow using the power-law viscosity function Comunicações em seminários: Universidade de Aveiro, dia 5 de Abril de 2019, no âmbito dos seminários regulares do DMAT/UA
Universidade de Aveiro (Aveiro, Portugal)
2019/02/28 The effect of viscosity and viscoelasticity on the flow of a fluid in a tube with a contraction Comunicações em seminários: Universidade Aberta, dia 28 Fevereiro de 2019, no âmbito dos seminários regulares do DCT/UA
Universidade Aberta (Lisboa, Portugal)
2018/11 Three-dimensional velocity field for blood flow using the power-law viscosity function 12th Workshop on Statistics, Mathematics and Computation in Honour of Professor Carlos Braumann, UBI, Covilhã, 9-10 Novembro de 2018
Universidade da Beira Interior (Covilhã, Portugal)
2018/10/19 Three-dimensional velocity field for blood flow using the power-law viscosity function II Congresso Luso-Estremadurense, Universidade da Estremadura, Badajoz, Espanha, 19 de Outubro de 2018
Universidade de Badajoz (Badajoz, Spain)
2018/10/17 Three-dimensional velocity field for blood flow using the power-law viscosity function Comunicações em seminários: No âmbito dos seminários de doutoramento na Universidade de Évora, 17 de Outubro de 2018
Universidade de Évora (Évora, Portugal)
2018/07 The effect of viscosity and viscoelasticity on the flow of a fluid in a tube with a contraction: for example a vein with arteriosclerosis 2nd Portuguese Meeting in Biomathematics, Aveiro, 19-20 July 2018, Portugal
Universidade de Aveiro (Aveiro, Portugal)
2018/05/26 Three-dimensional velocity field for blood flow using the power-law viscosity function ornadas da Matemática, Estatística e Aplicações da Universidade Aberta, dia 26 Maio de 2018
Universidade Aberta (Lisboa, Portugal)
2018/05 Numerical simulations of a third-grade fluid flow on a tube through a contraction ESTG-Instituto Politécnico do Porto, 11-12 Maio de 2018, V Workshop on Computational Data Analysis and Numerical Methods
ESTG-Instituto Politécnico do Porto (Felgueiras, Portugal)
2018/05 Three-dimensional velocity field for blood flow using the power-law viscosity function International Week of the ULBS-University of Sibiu, Roménia, 14-19 May 2018
University of Sibiu (Sibiu, Romania)
2018/05 Numerical simulations of a third-grade fluid flow on a tube through a contraction International Week of the ULBS-University of Sibiu, Roménia, 14-19 May 2018
University of Sibiu (Sibiu, Romania)
2018/03/02 Three-dimensional velocity field for blood flow using the power-law viscosity function Comunicações em seminários: Universidade da Beira Interior, dia 2 Março de 2018, no âmbito dos seminários regulares do Dmat/UBI
Universidade da Beira Interior (Covilhã, Portugal)
2017/12/12 The effect of viscosity and viscoelasticity on the flow of a fluid in a tube: for example a tube with an arteriosclerosis or aneurysm Ciclo de Conferências San Alberto 2017, Universidade de Extremadura, Badajoz, Espanha, 12 de Dezembro de 2017:
Universidade de Badajoz (Badajoz, Spain)
2017/10/27 Axisymmetric Motion of a Proposed Generalized Non-Newtonian Fluid Model with Shear-dependent Viscoelastic Effects IV Workshop on Computational Data Analysis and Numerical Methods, Instituto Politécnico de Beja, 27 October, 2017
Instituto Politécnico de Beja (Beja, Portugal)
2017/10 Axisymmetric Motion of a Proposed Generalized Non-Newtonian Fluid Model with Shear-dependent Viscoelastic Effects I Congresso Luso-Extremadurense, Universidade de Évora, 20-21 de Outubro de 2017,
Universidade de Évora (Évora, Portugal)
2017/05 One dimensional model for blood flow based on Cosserat Theory Second Advanced School on Integral Equations and Applications, May 18-20, IST-UTL, 2017
UTL-IST (Lisboa, Portugal)
2017/03 Axisymmetric flow of a Generalized Newtonian fluid in a straight pipe using a director Theory Approach Eighth Workshop Dynamical System Applied to Biology and natural Sciences, 31 Jan-3 Fev, 2017, Universidade de Évora
Universidade de Évora (Évora, Portugal)
2017/01/30 A NEW ONE-DIMENSIONAL MODEL FOR BLOOD FLOW BASED ON COSSERAT THEORY II Joint Meeting Évora-Extremadura on Mathematics, 30 January, 2017, Universidade de Évora
Universidade de Évora (Évora, Portugal)
2016/12/14 A NEW ONE-DIMENSIONAL MODEL FOR BLOOD FLOW BASED ON COSSERAT THEORY Comunicações em seminários: Seminários Dmat/CIMA, 14 Dezembro 2016, no âmbito do programa de Doutoramento em Matemática na Universidade de Évora
Universidade de Évora (Évora, Portugal)
2016/11/18 A NEW ONE-DIMENSIONAL MODEL FOR BLOOD FLOW BASED ON COSSERAT THEORY III Workshop on Computational Data Analysis and Numerical Methods, 18 November, 2016, IPP (Instituto Politécnico de Portalegre)
Instituto Politécnico de Portalegre (Portalegre, Portugal)
2016/10 A NEW ONE-DIMENSIONAL MODEL FOR BLOOD FLOW BASED ON COSSERAT THEORY The Portuguese Meeting in Biomathematics 2016 will be hosted by the Department of Mathematics of University of Beira Interior on October 13 and 14, 2016
Universidade da Beira Interior (Covilhã, Portugal)
2016/09/28 A NEW ONE-DIMENSIONAL MODEL FOR BLOOD FLOW BASED ON COSSERAT THEORY Encontros com a Matemática, IPBeja-ESTIG, 28 de Setembro 2016
Instituto Politécnico de Beja (Beja, Portugal)
2016/07 Um modelo unidimensional para o fluxo de sangue com base na teoria de Cosserat Encontro Nacional da Sociedade Portuguesa de Matemática 2016, que se realizou na Escola Superior de Tecnologia de Barreiro do Instituto Politécnico de Setúbal, nos dias 11, 12 e 13 de Julho de 2016
SPM (Barreiro, Portugal)
2016/05 A NEW ONE-DIMENSIONAL MODEL FOR BLOOD FLOW BASED ON COSSERAT THEORY 10th Workshop on Statistics, Mathematics and Computation, 26-28 Maio, 2016, IPTomar
Instituto Politécnico de Tomar (Tomar, Portugal)
2016/03 A NEW ONE-DIMENSIONAL MODEL FOR BLOOD FLOW BASED ON COSSERAT THEORY Seventh Workshop Dynamical Systems Applied to Biology and Natural, 2-5 Fevereiro 2016, Universidade de Évora
Universidade de Évora (Évora, Portugal)
2015/12 A one-dimensional method based on Cosserat theory for a generalized unsteady viscoelastic fluid of third-grade 9th Workshop on Statistics, Mathematics and Computation, December 14-15, 2015, Palácio Ceia, Lisbon, Portugal
Universidade Aberta (Lisboa, Portugal)
2015/09 One-dimensional model of fluids of third grade in straight tubes with constant radius Mattriad 2015, Universidade de Coimbra, Setembro de 7 a 11, 2015
Universidade de Coimbra (Coimbra, Portugal)
2015/04/24 One-dimensional model of fluids of third grade in straight tubes II Workshop on Computational Data Analysis and Numerical Methods, 24 April 2015, Universdade de Évora, Évora, Portugal
Universidade de Évora (Évora, Portugal)
2015/03/18 One-dimensional viscoelastic fluid model where viscosity and normal stress coefficients depend on the shear rate Comunicações em seminários: Seminário de Análise, 18/03/15, CMA-FCT-UNL
CMA-FCT-UNL (Caparica, Portugal)
2014/07/25 1D simulations of viscoelastic fluids with applications to blood flow I Workshop on Computational Data Analysis and Numerical Methods, 25 July 2014, IPT (Instituto Politécnico de Tomar), Tomar, Portugal
Instituto Politécnico de Tomar (Tomar, Portugal)
2014/07 One-dimensional viscoelastic fluid model where viscosity and normal stress coefficients depend on the shear rate International Workshop on Boundary Value Problems: New Trends and Applications, 2-3 July 2014, University of Évora, Portugal
Universidade de Évora (Évora, Portugal)
2014/06/27 One-dimensional viscoelastic fluid model Workshop on Partial Differential Equations and Apllications, 27 Junho 2014
Universidade do Argarve (Faro, Portugal)
2012/11/21 Average Pressure Gradient of Swirling Flow Motion of a Viscoelastic Fluid in a Circular Straight Tube with no Constant Radius Meeting day in Mechanics, Universidade de Évora, 21.November.2012
Universidade de Évora (Évora, Portugal)
2012/06/22 Average Pressure Gradient of unsteady Swirling Flow Motion of a Viscous Fluid in a Circular Straight Tube with Constant Radius Workshop day in Mathematical Fluid Mechanics and Applications, Universidade de Évora, 22 June 2012
Universidade de Évora (Évora, Portugal)
2010/10 Average pressure gradient of swirling flow motion of a viscoelastic fluid in a circular straight tube with no constant radius International Conference on Equações Diferenciais e Aplicações, Douro-Portugal, 2-4 October, 2010
Universidade de Trás-os-Montes (Armamar-Douro, Portugal)
2009/07 Average Pressure Gradient of Swirling Flow Motion of a Viscoelastic Fluid in a Circular Straight Tube with Constant Radius International Conference on Mechanical Engineering, WCE-2009, Imperial College London, London, U.K., 1-3 July, 2009
Imperial College London (London, United Kingdom)
2009/03/04 1D model of swirling flow motion of a viscous fluid in a circular straight tube with variable radius Comunicações em seminários: Instituto Superior Técnico, Departamento de Matemática, 4 de Março de 200
UTL-IST (Lisboa, Portugal)
2009/03 1D model of swirling flow motion of a viscous fluid in a circular straight tapered tube International Conference on Topical Problems of Fluid Mechanics 2009, Prague, Institute of Thermomechanics AS CR, Czech Pilot Centre ERCOFTAC, Dept. of Tech. Mathematics, Faculty of Mech. Eng., Czech Tech. Univ., Czech Republic, February 25-26, 2009
Institute of Thermomechanics AS CR, Czech Pilot Centre ERCOFTAC, Dept. of Tech. Mathematics, Faculty of Mech. Eng., Czech Tech. Univ., Czech Republic (Prague, Czech Republic)
2008/12 1D viscoelastic fluid model with viscosity and normal stress coefficients depending on the shear rate Modélisation, Analyse et Simulations : Approches Mathématiques et Applications, UNIVERSITE HASSAN II- AIN CHOCK, Casablanca, Marrocos, 19-20 December 2008
UNIVERSITE HASSAN II- AIN CHOCK (Casablanca, Morocco)
2008/11 Perturbed flows of a second-order fluid in a uniform straight tube WSEAS International Conference on SYSTEM SCIENCE and SIMULATION in ENGINEERING, November 21-23, 2008, Venice, Italy
WSEAS (Venice, Italy)
2008/04/07 1D simulations of shear-thinning fluids with applications to blood flow Workshop Day on Dynamical Systems in Biology, Universidade de Évora, 7 de Março de 2008
Universidade de Évora (Évora, Portugal)
2008/03 Numerical simulations of a second-order fluid with normal stress coefficients depending on the shear rate International American Conference on Applied Mathematics, University of Harvard, Cambridge, MA, USA, March 24-26, 2008
University of Harvard, Cambridge, MA, USA (Cambridge, United States)
2008/02/29 1D simulations of shear-thinning fluids with applications to blood flow Comunicações em seminários: Universidade de Aveiro, Departamento de Matemática, 29 de Fevereiro de 2008
Universidade de Aveiro (Aveiro, Portugal)
2008/02 1D simulations of shear-thinning fluids with applications to blood flow International Conference on Topical Problems of Fluid Mechanics 2008, Prague, Institute of Thermomechanics AS CR, Czech Pilot Centre ERCOFTAC, Dept. of Tech. Mathematics, Faculty of Mech. Eng., Czech Tech. Univ., Czech Republic, February 20-22, 2008
nstitute of Thermomechanics AS CR, Czech Pilot Centre ERCOFTAC, Dept. of Tech. Mathematics, Faculty of Mech. Eng., Czech Tech. Univ., Czech Republic (Prague, Czech Republic)
2008/01/10 1D simulations of shear-thinning fluids with applications to blood flow Comunicações em seminários: Universidade do Minho, Departamento de Matemática, 10 de Janeiro de 2008
Universidade do Minho (Braga, Portugal)
2008/01/10 1D simulations of shear-thinning fluids with applications to blood flow Comunicações em seminários: Universidade de Trás-os-Montes e Alto Douro, Departamento de Matemática, 10 de Janeiro de 2008
Universidade de Trás-os-Montes e Alto Douro (Vila Real, Portugal)
2007/06/06 1D simulations of shear-thinning fluids with applications to blood flow Comunicações em seminários: Universidade do Algarve, Faculdade de Ciências e Tecnologia, 6 de Junho de 2007
Universidade do Algarve (Faro, Portugal)
2007/04/24 1D Models for Blood Flow in Small Vessels Using the Cosserat Theory Comunicações em seminários: University of North Carolina at Chapel Hill, Department of Mathematics, Carolina do Norte, USA, 24 de Abril de 2007
University of North Carolina at Chapel Hill ( Chapel Hill, United States)
2007/04/12 Generalized Newtonian fluid in a straight pipe using 1D models Comunicações em seminários: Universidade de Coimbra, Departamento de Matemática, 12 de Abril de 2007
Universidade de Coimbra (Coimbra, Portugal)
2007/03 Swirling motion of a second-order viscous fluid in a straight tube International Conference on TOPICAL PROBLEMS OF FLUID MECHANICS 2007, Prague, Institute of Thermomechanics AS CR, Czech Pilot Centre ERCOFTAC, Dept. of Tech. Mathematics, Faculty of Mech. Eng., Czech Tech. Univ., CzechRepublic, February 28-March 2, 2007
Institute of Thermomechanics AS CR, Czech Pilot Centre ERCOFTAC, Dept. of Tech. Mathematics, Faculty of Mech. Eng., Czech Tech. Univ., CzechRepublic (Prague, Czech Republic)
2006/11 Numerical simulation of generalized second-grade fluids using a 1D hierarchical model WSEAS Internacional Conference on Applied Mathematics, Dallas, Texas, USA, November 1-3, 2006
WSEAS (Dallas, United States)
2006/10/31 1D Models for Blood Flow in Small Vessels Using the Cosserat Theory Comunicações em seminários: Ohio State University, Columbus, Ohio, USA, Mathematical Biosciences Institute, 31 de Outubro de 2006
Ohio State University (Columbus, United States)
2006/09 Axisymmetric flow of a second order fluid through a slender body of revolution using 1D models The Banach Center Conference: Parabolic and Navier-Stokes Equations, Mathematical Research and Conference Center, Bedlewo, 10-17 September, 2006, Poland:
Banach Center: Mathematical Research and Conference Center (Bedlewo, Poland)
2006/06 Generalized Newtonian fluid in a straight pipe using 1D models III International Conference on Mathematical Fluid Mechanics and Applications, June 15-17, 2006, Évora University-Portuga
Universidade de Évora (Évora, Portugal)
2006/05 Axisymmetric motion of a second order viscous fluid in a circular straight tube under pressure gradients varying exponentially with time Sixth Internacional Conference on Advances in Fluid Mechanics, AFM 2006, 8-10 May 2006, Skiathos, Greece, 2006
WITpress (Skiathos, Greece)
2006/05 Unsteady flow of Oldroyd-B fluids in an uniform rectilinear pipe using 1D models IASME/WSEAS International Conference on Continuum Mechanics, Chalkida, Greece, May 11-13, 2006
IASME/WSEAS (Chalkida, Greece)
2005/12 Axisymmetric Flow of a Generalized Newtonian Fluid in a Straight Pipe Using a Director Theory Approach WSEAS Internacional Conference on Applied Mathematics, Tenerife, Spain, December 16-18, 2005
WSEAS (Tenerife, Spain)

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2019 - 2021/04/09 Modelos Unidimensionais Para Fluidos Newtonianos e Newtonianos Generalizados
Supervisor
 Matemática e Aplicações (Master)
Universidade de Évora Escola de Ciências e Tecnologia, Portugal
2018 - 2020/11/23 Fractais Clássicos - Aplicações à sala de aulas em São Tomé
Co-supervisor
 Matemática e Aplicações (Master)
Universidade de Évora Escola de Ciências e Tecnologia, Portugal
2018 - 2019/10/16 Sistemas Iterativos - Aplicações à sala de aula de S. Tomé
Co-supervisor
 Matemática e Aplicações (Master)
Universidade de Évora Escola de Ciências e Tecnologia, Portugal
Distinctions

Other distinction

2018 Certificate of Outstanding Contribution in Reviering (Awarded April 2018), atribuído por: Journal of Computation and Applied Mathematics (Elsevier, ISSN:0377-0427).
2009 Best Paper Award of The 2009 ICME, UK, London, 1-3 July 2009, title: Average Pressure Gradient of Swirling Flow Motion of a Viscoelastic Fluid in a Circular Straight Tube with Constant Radius, atribuído por: IAENG
2008 Best Paper Award of The 7th WSEAS-ICOSSSE-2008, Venice, Italy, November 21-23, 2008, title: Perturbed flows of a second-order fluid in a uniform straight tube, atribuído por: WSEAS