Hermenegildo Borges de Oliveira

Ph.D. in Mathematics


 

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  Contact address

  Departamento de Matemática
  Faculdade de Ciências e Tecnologia
  Universidade do Algarve
  Campus de Gambelas
  8005-139  Faro
  PORTUGAL

 

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  3.2 do Edifício 2 da FCT

 

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  +351 289800905

 

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  holivei@ualg.pt

 

 

 

 

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início/beginning investigação/research publicações/publications
 
 

 

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início/beginning ensino/teaching publicações/publications
 

 


 

Publicações Publications

 


 

 

 


 

Artigos com arbitragem em capítulos de livros, revistas e em actas de conferências
Refereed articles in book chapters, journals and conference proceedings

 

International Journals 
  1. Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms. Discrete Contin. Dyn. Syst. - A 37 (2017), no. 5, 2431-2453 (with J. Ferreira).

  2. Evolution problems of Navier-Stokes type with anisotropic diffusion. Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110 (2016), no. 2, 729-754 (with S.N. Antontsev).

  3. Anisotropically diffused and damped Navier-Stokes equations. Discrete Contin. Dyn. Syst. 2015, Suppl., 349-358 (2015).

  4. Asymptotic behavior of trembling fluids. Nonlinear Anal. Real World Appl. 19 (2014), 54-66 (with S.N. Antontsev).

  5. Analysis of the existence for the steady Navier-Stokes equations with anisotropic diffusion. Adv. Differential Equations 19 (2014) no. 5-6, 441-472 (with S.N. Antontsev).

  6. Existence of weak solutions for the generalized Navier-Stokes equations with damping. NoDEA Nonlinear Differential Equations Appl. 20 (2013) no. 3, 797-824.

  7. The Oberbeck-Boussinesq problem modified by a thermo-absorption term. J. Math. Anal. Appl. 379 (2011) no. 2, 802-817 (with S.N. Antontsev).

  8. The Navier-Stokes problem modified by an absorption term. Appl. Anal., 89 (2010), no. 12, pp. 1805-1825 (with S.N. Antontsev).

  9. Qualitative properties of the ice-thickness in a 3D model. (Print) WSEAS Trans. Math., 7 (2008) no. 3, pp. 78-86 (with S.N. Antontsev).

  10. Navier-Stokes equations with absorption under slip boundary conditions: existence, uniqueness and extinction in time. RIMS Kôkyûroku Bessatsu B1, Kyoto University (2007), pp. 21-42 (with S.N. Antontsev).

  11. Stopping a viscous fluid by a feedback dissipative field: II. The stationary Navier-Stokes problem. Rend. Mat. Acc. Lincei s. 9, v. 15 (2004), pp. 257-270 (with S.N. Antontsev and J.I. Díaz).

  12. Stopping a viscous fluid by a feedback dissipative field: I. The stationary Stokes problem. J. Math. Fluid Mech., 6 (2004), pp. 439-461 (with S.N. Antontsev and J.I. Díaz).

  13. On the confinement of a viscous fluid by means of a feedback external field. C. R. Méc. Acad. Sci. Paris, 330 (2002), pp. 797-802 (with S.N. Antontsev and J.I. Díaz).

 

Book Chapters/Book Series

  1. On a one-equation turbulent model with feedbacks. In Springer Proc. Math. Stat. 164 (2016), 51-61 (with A. Paiva).

  2. On a stochastic coupled system of reaction-diffusion of nonlocal type. In Springer Proc. Math. Stat. 75 (2014), 301-320 (with E.A. Coayla-Terán, J. Ferreira, P.M.D. de Magalhães).

  3. On the influence of an absorption term in incompressible fluid flows. In Adv. Math. Fluid Mech., Springer-Verlag (2010), 409-424.

  4. Finite time localized solutions of fluid problems with anisotropic dissipation. In Internat. Ser. Numer. Math. 154, Birkhäuser (2006), 23-32 (with S.N. Antontsev).

  5. Stopping a viscous fluid by a feedback dissipative field: thermal effects without phase changing. In Progr. Nonlinear Differential Equations  Appl. 61, Birkhäuser (2005), 1-14 (with S.N. Antontsev and J.I. Díaz).

 

National Journals

  1. Ice sheet flows in polar climates (Portuguese, Print). Bol. Soc. Port. Mat., Special Issue (2016), 13-16.

  2. Existence results of weak solutions for viscous fluids (Portuguese, Print). Bol. Soc. Port. Mat., Special Issue (2013), 23-26.

 

Conference Proceedings

  1. On a mathematical model in ice sheet dynamics, Proceedings of the  5 th IASME/WSEAS International Conference on Fluid Mechanics and Aerodynamics, pp. 1-8,  (2007). ISBN: 978-960-8457-99-7 (with S.N. Antontsev).

  2. Mathematical models in dynamics of non-Newtonian fluids and in glaciology, Proceedings of the Congresse on Numerical and Computational Methods in Engineering, 20 pp., Faculdade de Engenharia da Universidade do Porto (2007), APMTAC, SEMNI e ABMEC (with S.N. Antontsev and J.I. Díaz).

  3. On a thermal effect without phase changing (Portuguese). Proceedings of the Congress of  Numerical Methods in Engineering, 15 pp. Universidad de Granada (2005).   SEMNI and APMTAC (with S.N. Antontsev).

  4. Localization of weak solutions for non-Newtonian fluid flows (Portuguese). Proceedings of the Congress of Computational Methods in Engineering, 15 pp. National Laboratory of Civil Engineering, Lisbon (2004). APMTAC and SEMNI. (with S.N. Antontsev).

 

Unpublished
  1. Existence of weak solutions for the generalized Navier-Stokes equations with a variable q-structure (2012), ResearchGate (with S.N. Antontsev, J.F. Rodrigues);

  2. Existence for the steady problem of a mixture of two power-law fluids (2012), ResearchGate.

  3. A note about existence for a class of viscous fluid problems (2012), ResearchGate.

 

Teses Theses

 

Textos de apoio às aulas Classes text notes


 

 

início/beginning ensino/teaching investigação/research

 

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desde 26/01/2010