International Journals 

1. Kelvin-Voigt equations with anisotropic relaxation, diffusion and damping: blow up and large time behaviors.   Asymptot. Anal. (2020), Pre-press (with S. Antontsev and K. Khompysh)

2. Generalized Kelvin-Voigt equations for nonhomogeneous and incompressible fluids.   Commun. Math. Sci. 17 (2019), no. 7, 1915-1948 (with S. Antontsev and K. Khompysh)

3. Generalized Navier-Stokes equations with nonlinear anisotropic viscosity.   Anal. Appl. 17 (2019), no. 6, 977-1003 .

4. Some results on the p(u)-Laplacian problem.   Math. Ann. 375 (2019), nos. 1–2, 283–313  (with M. Chipot).

5. Partial regularity of the solutions to a turbulent problem in porous media.   Proc. Amer. Math. Soc. 147 (2019), no. 9, 3961-3981.  (with A. Paiva).

6. Map production and data analysis with local parameters: The case study of the Algarve region.   4open 2 (2019) 27  (with F. Granja-Martins and H. Fernandez)

7. Existence and large time behavior for generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids.   J. Phys. Conf. Ser. 1268 (2019) 012008 (with S. Antontsev and K. Khompysh)

8. Kelvin-Voigt equations perturbed by anisotropic relaxation, diffusion and damping.  J. Math. Anal. Appl. 473 (2019), no. 2, 1122-1154 (with S. Antontsev and K. Khompysh).

9. A stationary one-equation turbulent model with applications in porous media. J. Math. Fluid Mech. 20 (2018), no. 2, 263–287 (with A. Paiva).

10. Existence for a one-equation turbulent model with strong nonlinearities. J. Elliptic Parabol. Equ. 3 (2017), no. 1-2, 65-91 (with A. Paiva).

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

12. 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).

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

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

15. 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).

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

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

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

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

20. 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).

21. 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).

22. 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).

23. 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. A note on the existence for a model of turbulent flows through porous media. In Springer Proc. Math. Stat. 230 (2018), 21-38.

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

3. 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).

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

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

6. 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. Escoamentos de mantos de gelo em climas polares. Bol. Soc. Port. Mat., Special Issue (2016), 13-16.

2. Resultados de existência de soluções fracas para fluidos viscosos e incompressíveis. 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. Sobre um efeito térmico sem mudança de fase. Proceedings of the Congress of  Numerical Methods in Engineering, 15 pp. Universidad de Granada (2005).   SEMNI and APMTAC (with S.N. Antontsev).

4. Localização de soluções fracas para escoamentos de fluidos não-Newtonianos. 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

• Tese de Doutoramento Ph.D. Thesis Localization of solutions for planar Navier-Stokes equations, Faculdade de Ciências e Tecnologia of Universidade do Algarve, 2004.

• Dissertação de Mestrado M.Sc. Thesis Variational methods and the image segmentation problem, Instituto Superior Técnico of Universidade Técnica de Lisboa, 1999.

 

Textos de apoio às aulas Classes text notes

• Apontamentos teóricos e práticos de Cálculo I, Janeiro de 2015, páginas (consulta a pedido ou apenas através da tutoria da UAlg)

• Apontamentos teóricos e práticos de Cálculo II, Julho de 2017, 161 páginas (consulta a pedido ou apenas através da tutoria da UAlg)

• Livro em fase de escrita "Análise Matemática em R", Julho de 2017, 264 páginas (consulta a pedido)

• Apontamentos ´teóricos e práticos de Análise Matemática em R^n, Junho de 2013, 104 páginas.

• Apontamentos teóricos e práticos de Equações Diferenciais, Dezembro de 2014, 55 páginas.

• Sebenta de Mecânica dos Fluidos, Dezembro de 2014, 82 páginas (basta adicionar ".pdf" no link conhecido ou consulta a pedido)

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