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Hermenegildo Borges de Oliveira, doutorado em Matemática, é professor no Departamento de Matemática da Faculdade de Ciências e Tecnologia da Universidade do Algarve e foi investigador no Centro de Matemática, Aplicações Fundamentais e Investigação Operacional da Faculdade de Ciências da Universidade de Lisboa de 2005 a 2024. É especialista na análise de Equações Diferenciais Não-lineares que modelam fenómenos naturais, em especial escoamentos de fluidos. Tem mais de 40 artigos científicos, com arbitragem por pares, publicados em revistas de circulação internacional, em capítulos de livros e em atas de conferências. É também autor de diversas sebentas de apontamentos de Cálculo e de Equações Diferencias Ordinárias. Em 2023, publicou o livro Introdução ao Cálculo Infinitesimal.
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Identification

Personal identification

Full name
Hermenegildo Augusto Vieira Borges de Oliveira

Citation names

  • de Oliveira, Hermenegildo Borges

Author identifiers

Ciência ID
4A15-7156-6A00
ORCID iD
0000-0001-9053-8442
Google Scholar ID
0gHbq4gAAAAJ&hl
Researcher Id
F-3186-2014
Scopus Author Id
7004475473

Telephones

Telephone
  • 289800905 Ext.: 7646 (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics - Pure Mathematics
  • Exact Sciences - Mathematics - Applied Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
English Intermediate (B1) Advanced (C1) Intermediate (B1) Intermediate (B1)
Spanish; Castilian Intermediate (B1) Advanced (C1) Intermediate (B1) Intermediate (B1)
French Beginner (A1) Intermediate (B1) Beginner (A1) Beginner (A1)
Italian Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1)
German Beginner (A1) Beginner (A1) Beginner (A1) Beginner (A1)
Education
Degree Classification
2004
Concluded
 Matemática (Doutoramento)
Universidade do Algarve Faculdade de Ciências e Tecnologia, Portugal
"Localização de soluções para equações de Navier-Stokes planares." (THESIS/DISSERTATION)
 n/a
1996 - 1999
Concluded
 Matemática (Mestrado)
Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal
1999
Concluded
 Matemática Aplicada (Mestrado)
Universidade de Lisboa Instituto Superior Técnico, Portugal
"Métodos Variacionais e o Problema de Segmentação de Imagem" (THESIS/DISSERTATION)
 Nível 5 (Excelente)
1988 - 1994
Concluded
 Matemática (Licenciatura)
Universidade de Lisboa Faculdade de Ciências, Portugal
1994
Concluded
 Matemática (Licenciatura)
Universidade de Lisboa Faculdade de Ciências, Portugal
"n/a" (THESIS/DISSERTATION)
 13
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2024/12/04 - Current Associate Professor (University Teacher) Universidade do Algarve Faculdade de Ciências e Tecnologia, Portugal
2004/07/07 - 2024/12/03 Assistant Professor (University Teacher) Universidade do Algarve Faculdade de Ciências e Tecnologia, Portugal
1998/11/01 - 2004/07/08 Assistant (University Teacher) Universidade do Algarve Faculdade de Ciências e Tecnologia, Portugal
1998/11/01 - 2004/07/08 Lecturer (University Teacher) Universidade do Algarve - Campus de Gambelas, Portugal
1998/01/11 - 2004/07/08 Assistant (University Teacher) Universidade do Algarve - Campus de Gambelas, Portugal
1997/10/01 - 1998/08/31 Lecturer (University Teacher) Universidade Lusófona de Humanidades e Tecnologias, Portugal

Other Careers

Category
Host institution 		Employer
1997/09/01 - 1998/10/30 Professor do ensino básico e secundário (Professor do ensino básico e secundário) Escola Secundária de Alfredo da Silva, Portugal
1997 - 1998 Professor do ensino básico e secundário (Professor do ensino básico e secundário) Escola Secundária de Alfredo da Silva, Portugal
1995/10/01 - 1997/08/31 Professor do ensino básico e secundário (Professor do ensino básico e secundário) Escola Secundária de Santo André, Portugal
1995 - 1997 Professor do ensino básico e secundário (Professor do ensino básico e secundário) Escola Secundária de Santo André, Portugal
1994/10/01 - 1994/12/31 Professor do ensino básico e secundário (Professor do ensino básico e secundário) Escola Secundária dos Casquilhos, Portugal

Others

Category
Host institution 		Employer
2015 - 2018 Membro Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
2007 - 2013 Membro Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
2007 - 2007 Membro Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
1995/01/01 - 1995/06/30 Statistical Technician A.C. Nielsen Portugal, Portugal
1995 - 1995 Técnico de Estatística A.C. Nielsen Portugal, Portugal
1990/08/30 - 1992/02/01 Oficial Marinha Portuguesa - Corpo de Fuzileiros, Portugal
1990 - 1992 Comandante de Pelotão Marinha Portuguesa - Corpo de Fuzileiros, Portugal
Projects

Grant

Designation Funders
2017 - 2018 Bolsa de Licença Sabática
SFRH/BSAB/135242/2017
 Fundação para a Ciência e a Tecnologia
2010 - 2011 Bolsa de Licença Sabática
SFRH/BSAB/1058/2010
 Fundação para a Ciência e a Tecnologia
2005/09 - 2007/12 Variable Exponents of Nonlinearity in Fluid Dynamics.
Provided by PTCRIS: POCI/MAT/61576/2004
 Fundação para a Ciência e a Tecnologia

Contract

Designation Funders
2024/01 - 2026/12 Theoretical and numerical analysis of nonlinear Navier- Stokes-Voigt and Boussinesq systems modeling compressible and incompressible flows of viscoelastic fluids
AP23486218-KC-24
 Ministry of Education and Science of the Republic of Kazakhstan
2023/01 - 2025/12 Navier-Stokes-Voigt models describing the motion of homogeneous and nonhomogeneous non-Newtonian fluids
AP19676624-KC-23
AP19676624
 Ministry of Science and Higher Education of the Republic of Kazakhstan
2020 - 2023 UIDB/04561/2020 & UIDP/04561/2020
UIDB/04561/2020 & UIDP/04561/2020
 Fundação para a Ciência e a Tecnologia
2013 - 2014 Strategic Project - UI 209 - 2013-2014
PEst-OE/MAT/UI0209/2013
 Fundação para a Ciência e a Tecnologia
2011/01/01 - 2012/12/31 Projecto Estratégico - UI 209 - 2011-2012
PEst-OE/MAT/UI0209/2011
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book
  1. De Oliveira, B.H.; De Oliveira, H.B.. On the influence of an absorption term in incompressible fluid flows. 2010.
    10.1007/978-3-642-04068-9_25
Book chapter
  1. Hermenegildo Borges de Oliveira. "Mathematical Analysis of Turbulent Flows Through Permeable Media". 2024.
    10.1007/978-3-031-53740-0_13
  2. de Oliveira, Hermenegildo Borges. "A note on the existence for a model of turbulent flows through porous media". 2018.
    10.1007/978-3-319-75647-9_3
  3. de Oliveira, Hermenegildo Borges. "Finite time localized solutions of fluid problems with anisotropic dissipation". In International Series of Numerical Mathematics: Free Boundary Problems. 2007.
    10.1007/978-3-7643-7719-9_3
  4. de Oliveira, Hermenegildo Borges. "Stopping a viscous fluid by a feedback dissipative field: thermal effects without phase changing". In Progress in Nonlinear Differential Equations and Their Applications: Trends in Partial Differential Equations of Mathematical Physics. 2005.
    10.1007/3-7643-7317-2_1
Conference paper
  1. athematical analysis of turbulent flows through permeable media. In CIM Series in Mathematical Sciences (2023), Proceedi. "Mathematical analysis of turbulent flows through permeable media". Évora, 2022.
    In press
  2. de Oliveira, H.B.; Paiva, A.. "On a one-equation turbulent model with feedbacks". 2016.
    10.1007/978-3-319-32857-7_5
  3. Hermenegildo Borges de Oliveira. "Anisotropically diffused and damped Navier-Stokes equations". 2015.
    10.3934/proc.2015.0349
  4. de Oliveira, Hermenegildo Borges. "Ice sheet flows in polar climates (Portuguese)". 2014.
  5. Coayla-Teran, E.A.; Ferreira, J.; de Magalhães, P.M.D.; de Oliveira, H.B.. "On a stochastic coupled system of reaction-diffusion of nonlocal type". 2014.
    10.1007/978-3-642-54271-8_15
  6. de Oliveira, Hermenegildo Borges. "Mathematical models in dynamics of non-Newtonian fluids and in glaciology". 2007.
  7. de Oliveira, Hermenegildo Borges. "On a thermal effect without phase changing (Portuguese)". 2005.
  8. de Oliveira, Hermenegildo Borges. "Localization of weak solutions for non-Newtonian fluid flows (Portuguese)". 2004.
Journal article
  1. Ankit Kumar; Hermenegildo Borges de Oliveira; Manil T. Mohan. "Existence and Uniqueness of Weak Solutions for the Generalized Stochastic Navier-Stokes-Voigt Equations". Journal of Statistical Physics (2025): http://dx.doi.org/10.1007/s10955-025-03500-2.
    10.1007/s10955-025-03500-2
  2. H. B. de Oliveira; Kh. Khompysh; A. G. Shakir. "Strong solutions for the Navier–Stokes–Voigt equations with non-negative density". Journal of Mathematical Physics (2025): https://doi.org/10.1063/5.0155335.
    10.1063/5.0155335
  3. Hermenegildo Borges De Oliveira null; Nuno David Lopes. "Continuous/Discontinuous finite element approximation of a 2d Navier-Stokes problem arising in fluid confinement". International Journal of Numerical Analysis and Modeling (2024): http://dx.doi.org/10.4208/ijnam2024-1013.
    10.4208/ijnam2024-1013
  4. Hermenegildo Borges de Oliveira. "Parabolic turbulence k-epsilon model with applications in fluid flows through permeable media". Opuscula Mathematica (2024): https://doi.org/10.7494/OpMath.2024.44.2.197.
    10.7494/OpMath.2024.44.2.197
  5. Antontsev; H. B. de Oliveira. "Cauchy problem for the Navier–Stokes–Voigt model governing nonhomogeneous flows". Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 116 4 (2022): http://dx.doi.org/10.1007/s13398-022-01300-x.
    10.1007/s13398-022-01300-x
  6. S. N. Antontsev; H. B. de Oliveira; Khonatbek Khompysh. "Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping". Nonlinear Differential Equations and Applications NoDEA 29 5 (2022): http://dx.doi.org/10.1007/s00030-022-00794-z.
    10.1007/s00030-022-00794-z
  7. de Oliveira, Hermenegildo Borges; Lopes, Nuno D.. "Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem". Computers & Mathematics with Applications 97 (2021): 122-152. http://dx.doi.org/10.1016/j.camwa.2021.05.034.
    10.1016/j.camwa.2021.05.034
  8. S N Antontsev; H B de Oliveira; Kh Khompysh. "The classical Kelvin–Voigt problem for incompressible fluids with unknown non-constant density: existence, uniqueness and regularity". Nonlinearity (2021): https://doi.org/10.1088/1361-6544/abe51e.
    10.1088/1361-6544/abe51e
  9. de Oliveira, Hermenegildo Borges. "Kelvin–Voigt equations with anisotropic diffusion, relaxation and damping: Blow-up and large time behavior". Asymptotic Analysis (2021): https://doi.org/10.3233/ASY-201597.
    10.3233/ASY-201597
  10. de Oliveira, Hermenegildo Borges. "Regularity and uniqueness of Kelvin-Voigt models for nonhomogeneous and incompressible fluids". Journal of Physics: Conference Series (2020): https://doi.org/10.1088/1742-6596/1666/1/012003.
    10.1088/1742-6596/1666/1/012003
  11. de Oliveira, Hermenegildo Borges. "Generalized Kelvin-Voigt equations for nonhomogeneous and incompressible fluids". Communications in Mathematical Sciences (2019): http://dx.doi.org/10.4310/cms.2019.v17.n7.a7.
    10.4310/cms.2019.v17.n7.a7
  12. M. Chipot; H. B. de Oliveira. "Correction to: Some results on the p(u)-Laplacian problem". Mathematische Annalen (2019): https://doi.org/10.1007/s00208-019-01859-8.
    10.1007/s00208-019-01859-8
  13. de Oliveira, Hermenegildo Borges. "Existence and large time behavior for generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids". Journal of Physics: Conference Series (2019): http://dx.doi.org/10.1088/1742-6596/1268/1/012008.
    10.1088/1742-6596/1268/1/012008
  14. S.N. Antontsev; H.B. de Oliveira; Kh. Khompysh. "Kelvin–Voigt equations perturbed by anisotropic relaxation, diffusion and damping". Journal of Mathematical Analysis and Applications (2019): https://doi.org/10.1016/j.jmaa.2019.01.011.
    10.1016/j.jmaa.2019.01.011
  15. de Oliveira, Hermenegildo Borges. "Partial regularity of the solutions to a turbulent problem in porous media". Proceedings of the American Mathematical Society (2019):
    10.1090/proc/14545
  16. M. Chipot; H. B. de Oliveira. "Some results on the p(u)-Laplacian problem". Mathematische Annalen (2019): https://doi.org/10.1007/s00208-019-01803-w.
    10.1007/s00208-019-01803-w
  17. De Oliveira, H.B.; de Oliveira, Hermenegildo Borges. "Generalized Navier-Stokes equations with nonlinear anisotropic viscosity". Analysis and Applications (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85069841335&partnerID=MN8TOARS.
    10.1142/S021953051950009X
  18. Hermenegildo Borges de Oliveira; Sandra Pinelas; Fernando Granja-Martins; Helena Maria Fernandez. "Map production and data analysis with local parameters". 4open (2019): https://doi.org/10.1051/fopen/2019022.
    10.1051/fopen/2019022
  19. de Oliveira, Hermenegildo Borges. "A Stationary one-equation turbulent model with applications in porous media". Journal of Mathematical Fluid Mechanics (2018):
    10.1007/s00021-017-0325-6
  20. H. B. de Oliveira; A. Paiva. "Existence for a one-equation turbulent model with strong nonlinearities". Journal of Elliptic and Parabolic Equations (2017): https://doi.org/10.1007/s41808-017-0005-y.
    10.1007/s41808-017-0005-y
  21. Ferreira, J.; De Oliveira, H.B.. "Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms". Discrete and Continuous Dynamical Systems- Series A 37 5 (2017): 2431-2453. http://www.scopus.com/inward/record.url?eid=2-s2.0-85017528602&partnerID=MN8TOARS.
    10.3934/dcds.2017105
  22. Antontsev, S.N.; de Oliveira, H.B.. "Evolution problems of Navier–Stokes type with anisotropic diffusion". Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 110 2 (2016): 729-754. http://www.scopus.com/inward/record.url?eid=2-s2.0-84981275881&partnerID=MN8TOARS.
    10.1007/s13398-015-0262-2
  23. Antontsev, S.N.; de Oliveira, H.B.. "Analysis of the existence for the steady navier-stokes equations with anisotropic diffusion". Advances in Differential Equations 19 5-6 (2014): 441-472. http://www.scopus.com/inward/record.url?eid=2-s2.0-84898736065&partnerID=MN8TOARS.
  24. Antontsev, S.N.; De Oliveira, H.B.. "Asymptotic behavior of trembling fluids". Nonlinear Analysis: Real World Applications 19 1 (2014): 54-66. http://www.scopus.com/inward/record.url?eid=2-s2.0-84896536350&partnerID=MN8TOARS.
    10.1016/j.nonrwa.2014.02.005
  25. de Oliveira, H.B.. "Existence of weak solutions for the generalized Navier-Stokes equations with damping". Nonlinear Differential Equations and Applications 20 3 (2013): 797-824. http://www.scopus.com/inward/record.url?eid=2-s2.0-84878391612&partnerID=MN8TOARS.
    10.1007/s00030-012-0180-3
  26. de Oliveira, Hermenegildo Borges. "Existence results of weak solutions for viscous fluids (Portuguese)". Boletim da Sociedade Portuguesa de Matemática (2012):
  27. Antontsev, S.N.; De Oliveira, H.B.. "The Oberbeck-Boussinesq problem modified by a thermo-absorption term". Journal of Mathematical Analysis and Applications 379 2 (2011): 802-817. http://www.scopus.com/inward/record.url?eid=2-s2.0-79952813908&partnerID=MN8TOARS.
    10.1016/j.jmaa.2011.02.018
  28. Antontsev, S.N.; de Oliveira, H.B.. "The navier-stokes problem modified by an absorption term". Applicable Analysis 89 12 (2010): 1805-1825. http://www.scopus.com/inward/record.url?eid=2-s2.0-78149477119&partnerID=MN8TOARS.
    10.1080/00036811.2010.495341
  29. de Oliveira, Hermenegildo Borges; Antontsev, S.N.; Oliveira, H.B.. "Qualitative properties of the ice-thickness in a 3D model". WSEAS Transactions on Mathematics 7 3 (2008): 78-86. http://www.scopus.com/inward/record.url?eid=2-s2.0-48849105945&partnerID=MN8TOARS.
  30. de Oliveira, Hermenegildo Borges. "Navier-Stokes equations with absorption under slip boundary conditions: existence, uniqueness and extinction in time". RIMS Kôkyûroku Bessatsu B1, Kyoto University (2007): http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu/open/B1/pdf/B1-2.pdf.
  31. Antontsev, S.N.; Díaz, J.I.; De Oliveira, H.B.. "Stopping a viscous fluid by a feedback dissipative field: II. The stationary navier-stokes problem". Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni 15 3-4 (2004): 257-270. http://www.scopus.com/inward/record.url?eid=2-s2.0-84887252549&partnerID=MN8TOARS.
  32. Antontsev, S.N.; Diaz, J.I.; De Oliveira, H.B.. "Stopping a viscous fluid by a feedback dissipative field: I. the stationary Stokes problem". Journal of Mathematical Fluid Mechanics 6 4 (2004): 439-461. http://www.scopus.com/inward/record.url?eid=2-s2.0-11144251588&partnerID=MN8TOARS.
    10.1007/s00021-004-0106-x
  33. de Oliveira, Hermenegildo Borges. "Stopping a viscous fluid by a feedback dissipative field: II. The stationary navier-stokes problem". Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni 15 3-4 (2004): 257-270. http://www.bdim.eu/item?fmt=pdf&id=RLIN_2004_9_15_3-4_257_0.
  34. Antontsev, S.N.; Díaz, J.I.; De Oliveira, H.B.. "On the confinement of a viscous fluid by means of a feedback external field". Comptes Rendus - Mecanique 330 12 (2002): 797-802. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036940670&partnerID=MN8TOARS.
    10.1016/S1631-0721(02)01536-X
Manual
  1. de Oliveira, Hermenegildo Borges. INTRODUÇÃO AO CÁLCULO INFINITESIMAL. Lisboa, Portugal: Lisbon International Press. 2023.
    Published
Preprint
  1. Hermenegildo Borges de Oliveira. "Strong solutions for the Navier-Stokes-Voigt equations with non-negative density". 2023.
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2023/09/01 - Current Mathematical and numerical analysis of fluid problems with feedback forces
Co-supervisor of Murat Mukhambetkaliyev
 Matemática (PhD)
Al-Farabi Kazakh National University, Kazakhstan
2013/09/01 - Current Analysis of Reynolds-Averaged Navier-Stokes equations
Supervisor of Ana Paiva
 Matemática (PhD)
Universidade do Algarve, Portugal
2020/09/01 - 2023/12/13 Initial-and boundary-value problems for generalized Kelvin-Voigt equations
Co-supervisor of Aidos Shakir
 Matemática (PhD)
Al-Farabi Kazakh National University, Kazakhstan
2008/09/01 - 2009/06/16 Modelação matemática do sistema cardiovascular
Supervisor of Daniela Caiado
 Engenharia Biotecnológica (Master)
Universidade do Algarve, Portugal
2008/09/01 - 2009/02/23 Modelação matemática do oceano
Supervisor of Ana Paiva
 Matemática (Master)
Universidade do Algarve, Portugal

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2014/07/04 Método dos Elementos Finitos para Problemas com Fronteiras Livres
(Thesis) Arguer
 José Duque (PhD)
Universidade da Beira Interior, Portugal
2014/04/25 A mathematical model for the progression of dental caries
(Thesis) Arguer
 Rene Izquierdo Fábregas (PhD)
Universidad Complutense de Madrid, Spain
2013/10/31 Aplicações do MEFM a sistemas com fronteiras móveis em 1-D e 2-D
(Thesis) Arguer
 Rui Robalo (PhD)
Universidade da Beira Interior, Portugal
2013/04/15 Análise numérica e estocástica das equações turbulentas em modelação climática Celestino Coelho (PhD)
Universidade do Algarve, Portugal

Other jury / evaluation

Activity description Institution / Organization
2022/07/27 - 2022/12/20 International Call to hire a Ph.D. Graduate Researcher by Nova ID FCT Universidade Nova de Lisboa Associação para a Inovação e Desenvolvimento da FCT, Portugal