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Jesús Ildefonso Díaz Díaz

Jesús Ildefonso Díaz Díaz

D-Index & Metrics

Mathematics

D-Index
36
Citations
7346
World Ranking
2598
National Ranking
46

Overview

Jesús Ildefonso Díaz Díaz is affiliated with Complutense University of Madrid in Spain. Their research primarily focuses on the fields of Mathematics, Computer Science, and Engineering, with a notable emphasis on Computational Theory and Mathematics, Applied Mathematics, Mathematical Physics, Computational Mechanics, and Mechanics of Materials.

The scientist's main topics of work include Advanced Mathematical Modeling in Engineering, Nonlinear Partial Differential Equations, Advanced Numerical Methods in Computational Mathematics, Composite Material Mechanics, Advanced Mathematical Physics Problems, Stability and Controllability of Differential Equations, and Numerical methods in inverse problems.

Jesús Ildefonso Díaz Díaz has published extensively in several scientific venues. Frequent publication venues include arXiv (Cornell University), Electronic Journal of Differential Equations, Journal of Mathematical Analysis and Applications, Discrete and Continuous Dynamical Systems - S, and Doklady Mathematics.

Recent papers illustrating their research contributions include:

  • On the convergence of controls and cost functionals in some optimal control heterogeneous problems when the homogenization process gives rise to some strange terms, 2021, Journal of Mathematical Analysis and Applications
  • On the Homogenization of an Optimal Control Problem in a Domain Perforated by Holes of Critical Size and Arbitrary Shape, 2022, Doklady Mathematics
  • strange non-local monotone operator arising in the homogenization of a diffusion equation with dynamic nonlinear boundary conditions on particles of critical size and arbitrary shape, 2022, Electronic Journal of Differential Equations

Additionally, papers co-authored by related researchers are relevant, including:

  • Stochastic energy balance climate models with Legendre weighted diffusion and an additive cylindrical Wiener process forcing, 2021, Discrete and Continuous Dynamical Systems - S
  • Fractional Sobolev inequalities revisited: the maximal function approach, 2020, Rendiconti Lincei Matematica e Applicazioni

Jesús Ildefonso Díaz Díaz has collaborated frequently with a number of co-authors, including Т. А. Шапошникова, Alexander Podolskiy, Pascal Bégout, Nguyen Anh Dao, and David Gómez-Castro.

Best Publications

  • Nonlinear partial differential equations and free boundaries

    J. I. Diaz

  • Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics. Progress in Nonlinear Differential Equations and Their Applications, Vol 48

    SN Antontsev;JI Diaz;S Shmarev;AJ Kassab

  • Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics

    S. N Antontsev;J. I Díaz;S Shmarev

  • Existence et unicité de solutions positives pour certaines équations elliptiques quasilinéaires

    J. I. Diaz;J. E. Saa;Rapp. Haim Brezis

  • On a nonlinear parabolic problem arising in some models related to turbulent flows

    Jesus Ildefonso Diaz;Francois de Thelin

  • An elliptic equation with singular nonlinearity

    Jesús Ildefonso Díaz Díaz;J.M. Morel;L. Oswald

  • Existence and regularity of renormalized solutions for some elliptic problems involving derivatives of nonlinear terms

    L. Boccardo;D. Giachetti;J.I. Diaz;F. Murat

  • Energy Methods for Free Boundary Problems

    S. N. Antontsev;J. I. Díaz;S. Shmarev

  • Some qualitative properties for the total variation flow

    Fuensanta Andreu;Vicente Caselles;Jesus Ildefonso Díaz;José Mazón

  • On a Nonlinear Degenerate Parabolic Equation in Infiltration or Evaporation through a Porous Medium.

    Jesus Ildefonso Diaz;Robert Kersner

  • Symmetrization Techniques on Unbounded Domains: Application to a Chemotaxis System on RN

    Jesús Ildefonso Díaz Díaz;Toshitaka Nagai;Jean Michel Theresien Rakotoson

  • S-Shaped Bifurcation Branch in a Quasilinear Multivalued Model Arising in Climatology

    D. Arcoya;J.I. Diaz;L. Tello

  • Estimates on the support of the solutions of some nonlinear elliptic and parabolic problems

    J. I. Díaz;M. A. Herrero

  • On the multiplicity of equilibrium solutions to a nonlinear diffusion equation on a manifold arising in climatology

    J.I. Dı́az;J. Hernández;L. Tello

  • ON A DOUBLY NONLINEAR PARABOLIC OBSTACLE PROBLEM MODELLING ICE SHEET DYNAMICS

    Natividad Calvo;J. I. Díaz;José Durany;Emanuele Schiavi

  • HOMOGENIZATION IN CHEMICAL REACTIVE FLOWS

    Carlos Conca;Jesus Ildefonso Diaz;Amable Linan;Claudia Timofte

  • Effective chemical processes in porous media

    C. Conca;J. I. Díaz;C. Timofte

  • On Very Weak Positive Solutions to Some Semilinear Elliptic Problems With Simultaneous Singular Nonlinear and Spatial Dependence Terms

    Jesús Ildefonso Díaz Díaz;J. Hernández;Jean Michel Theresien Rakotoson

  • Existence and uniqueness of solutions of the Boussinesq system with nonlinear thermal diffusion

    J. I. Díaz;G. Galiano

  • On convexity and starshapedness of level sets for some nonlinear elliptic and parabolic problems on convex rings

    Jesús Ildefonso Díaz Díaz;B. Kawohl

  • Free boundary problems : theory and applications

    J. I. Díaz

Frequent Co-Authors

Jacques-Louis Lions
Jacques-Louis Lions Collège de France
Juan Luis Vázquez
Juan Luis Vázquez Autonomous University of Madrid
Pierre-Louis Lions
Pierre-Louis Lions Collège de France
Laurent Veron
Laurent Veron François Rabelais University
Andrew C. Fowler
Andrew C. Fowler University of Limerick
Lucio Boccardo
Lucio Boccardo Sapienza University of Rome
Haim Brezis
Haim Brezis Rutgers, The State University of New Jersey
Jean-Michel Coron
Jean-Michel Coron Sorbonne University
John B. Rundle
John B. Rundle University of California, Davis

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