Copyright 2017 - Site designed and maintained by: Ariel Díaz De Armas

Ayudante Doctor
(Assistant Professor)

Office: 2.2A05(Edificio Sabatini)
Phone: +34 916249099
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Curriculum Vitae: spanish/english

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  1. Existence and multiplicity of stationary solutions for a Cahn--Hilliard-type equation in RN, Discrete Contin. Dyn. Syst. AIMS Proceedings, in press/accepted.
  2. Countable families of solutions of a limit stationary semilinear fourth-order Cahn--Hilliard-type equation I. Mountain pass and Lusternik--Schnirel'man patterns in R^N, (with Jonathan D. Evans and Victor Galaktionov), submitted.
  3. Existence of solutions for a system of coupled nonlinear stationary bi-harmonic Schrödinger equations, (with Eduardo Colorado and Victor Galaktionov), Nonlinear Analysis: Real World Applications, 23, (2015), 78-93.
  4. On a Branching Analysis of a countable family of global similarity solutions of a fourth-order thin film equation, (with Victor A.Galaktionov), Electronic Journal of Differential Equations, Vol. 2015 (2015), no. 90, 1-29.
  5. "Blow-up" and global behaviour of the solutions of the bi-Laplace equation in domains with a multiple crack section, (with Victor A. Galaktionov), Communications in Pure and Applied Analysis, in press.
  6. Towards optimal regularity for the fourth-order thin film equation in R^N: Graveleau-type focusing self-similarity, (with Jonathan D. Evans and Victor A. Galaktionov), Journal of Mathematical Analysis and Applications, 431 (2015), 1099-1123.
  7. The p-Laplace equation in domains with a multiple crack section via pencil operators, (with Victor A. Galaktionov), Advances Nonlinear Studies, 15, no. 1 (2015), 91-116.
  8. The Cauchy problem for a tenth-order thin film equation II. Oscillatory source-type and fundamental similarity solutions, (with Jonathan D. Evans and Victor A. Galaktionov), Discrete Contin. Dyn. Syst., 35, no. 3 (2015), 807-827.
  9. Well-posedness of the Cauchy problem for a fourth-order thin film equation via regularization approaches, (with Victor A.Galaktionov), Nonlinear Analysis, 121 (2015), 19-35.
  10. Qualitative analysis of a cooperative reaction-diffusion system in spatiotemporally degenerate environment, (with Yihong Du and Rui Peng), SIAM Journal of Mathematical Analysis, vol. 46, no. 1 (2014), 499-531.
  11. The Cauchy problem for tenth-order thin film equation I. Bifurcation of oscillatory fundamental solutions, (with Jonathan D. Evans and Victor A. Galaktionov) Mediterranean Journal of Mathematics, No. 4, Vol. 10(2013), 1759-1790.
  12. Steady states, global existence and blow--up for fourth--order semilinear parabolic equations of Cahn--Hilliard type, (with Victor A.Galaktionov) Advances Nonlinear Studies, 12, (2012), 315-361.
  13. Variational approach for a class of cooperative systems, Nonlinear Analysis. Theory, Methods and Applications, 75 (2012), 5620-5638.
  14. Local bifurcation analysis of global and “blow-up” patterns for a fourth-order thin film equation, Nonlinear Differential equations and Applications (NoDEA), Vol. 18, (2011), 483--537, (with Victor A.Galaktionov).
  15. Asymptotic analysis for some linear eigenvalue problems via Gamma-Convergence, Advances in Differential Equations, Vol. 15, 7-8 (2010), 649-688, (with Antoine Lemenant).
  16. The dynamics of a class of sublinear cooperative systems, Discrete Contin. Dyn. Syst. 26, no. 2, (2010), 397–415, (with Julián López-Gómez).
  17. Characterizing the existence of coexistence states for a class of cooperative systems, Discrete Contin. Dyn. Syst., Supplement (2009), 24–33, with Julián López-Gómez).
  18. Asymptotic behaviour of principal eigenvalues for a class of cooperative systems [Corrigendum J. Differential Equations 245, (2008), no. 2, 566–567], Journal of Differential Equations. 244 (2008), 1093–1113, (with Julián López-Gómez).
  19. Semiclassical Analysis for highly degenerate potentials. Proceedings of American Mathematical Society, 136 (2008), 665–675, (with Julián López-Gómez).
  20. Metasolutions in cooperative systems, Nonlinear Analysis: Real World Applications. 9 (2008), 1119–1157, (with Julián López-Gómez).

 

 

 

 




Academic Year 2017-2018.

  • Undergraduate Teaching.
  1. Advanced Mathematics. Second year Bachelor' Degree in Aerospace Engineering (in English).
  • Postgraduate Teaching. Partial Differential Equations. Masters in Mathematical Engineering.

Academic Year 2016-2017.

  • Undergraduate Teaching.
  1. Calculus III. Third year Bachelor' Degree in Industrial Technologies Engineering.
  2. Differential Equations. Second year Bachelor' Degree in Biomedical Engineering (in English).
  • Postgraduate Teaching. Partial Differential Equations. Masters in Mathematical Engineering.

Academic Year 2015-2016.

  • Undergraduate Teaching.
  1. Calculus II. First year Bachelor' Degree in Biomedical Engineering (in English).
  2. Differential Equations. Second year Bachelor' Degree in Biomedical Engineering (in English).
  • Postgraduate Teaching. Partial Differential Equations. Masters in Mathematical Engineering.

Academic Year 2014-2015.

  • Undergraduate Teaching.
  1. Calculus II. First year Bachelor' Degree in Biomedical Engineering (in English).
  2. Differential Equations. Second year Bachelor' Degree in Biomedical Engineering (in English).
  3. Calculus II. First year Bachelor' Degree in Industrial Technologies.
  • Postgraduate Teaching. Advanced Numerical Methods. Masters in Mathematical Engineering.

Academic Year 2013-2014.

  • Undergraduate Teaching.
  1. Calculus II. First year Bachelor' Degree in Biomedical Engineering (in English).
  2. Differential Equations. Second year Bachelor' Degree in Biomedical Engineering (in English).
  • Postgraduate Teaching. Advanced Numerical Methods. Masters in Mathematical Engineering.
Academic Year 2012-2013.
  • Postgraduate Teaching. Advanced Numerical Methods. Masters in Mathematical Engineering.
  • Undergraduate Teaching. Calculus II. First year Bachelor' Degree in Telematic Engineering.
Academic Year 2011-2012.
  • Calculus I. First year Bachelor' Degree in Mechanical Engineering (in English).
  • Calculus II. First year Bachelor' Degree in Telematic Engineering.
Academic Year 2010-2011.
  • Calculus II. First year Bachelor in Telematic Engineering.

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