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Pablo Álvarez Caudevilla

Titular de Universidad
(Associate Professor)

Office: 2.2A05(Edificio Sabatini)
Phone: +34 916249099
E-Mail: This email address is being protected from spambots. You need JavaScript enabled to view it.


Curriculum Vitae: spanish/english

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List of Publications

  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).

 

 

 

 




Teaching

Academic Year 2018-2019.

  • Undergraduate Teaching.
  1. Advanced Mathematics (Differential Equations). Second year Bachelor' Degree in Aerospace Engineering (in English).
  2. Advanced Mathematics (Complex Variable and ODEs). Second year Bachelor' Degree in Audiovisual Systems Engineering.
  3. Calculus III. Third year Bachelor' Degree in Industrial Technologies Engineering (in English).
  4. Advanced Mathematics (Linear Algebra). Second year Bachelor' Degree Statistics and Business.
  • Postgraduate Teaching. Partial Differential Equations. Masters in Mathematical Engineering.

Academic Year 2010-2018.

  • Undergraduate Teaching.
  1. Calculus I. First year Bachelor' Degree in Mechanical Engineering (in English).
  2. Calculus II. First year Bachelor' Degrees in Biomedical Engineering (in English) Industrial Technologies and Telematic Engineering.
  3. Calculus III. Third year Bachelor' Degree in Industrial Technologies Engineering (in English).
  4. Differential Equations. Second year Bachelor' Degree in Biomedical Engineering (in English).
  5. Advanced Mathematics (Differential Equations). Second year Bachelor' Degree in Aerospace Engineering (in English).
  • Postgraduate Teaching. Partial Differential Equations and Advanced Numerical Methods. Masters in Mathematical Engineering.

 

 
 
 

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