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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 2015-2016.

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

Academic Year 2013-2014.

  • Undergraduate Teaching.
  1. Calculus II. First year Bachelor in Biomedical Engineering (in English).
  2. Differential Equations. Second year Bachelor 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 in Telematic Engineering.
Academic Year 2011-2012.
  • Calculus I. First year Bachelor in Mechanical Engineering (in English).
  • Calculus II. First year Bachelor in Telematic Engineering.
Academic Year 2010-2011.
  • Calculus II. First year Bachelor in Telematic Engineering.

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