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François Murat

François Murat

D-Index & Metrics

Mathematics

D-Index
45
Citations
10928
World Ranking
1442
National Ranking
81

Overview

François Murat is affiliated with Sorbonne University in France and specializes in mathematics, with a focus on applied mathematics and mathematical physics. Their research work spans multiple subfields, including computational theory and mathematics, mechanics of materials, and computational mechanics.

The primary topics of Murat's research include advanced mathematical modeling in engineering, differential equations and boundary problems, nonlinear partial differential equations, and numerical methods in inverse problems. There is also a focus on composite material mechanics, advanced numerical methods in computational mathematics, and differential equations combined with numerical methods.

Recent publications authored or co-authored by Murat demonstrate engagement with problems in elliptic equations and composite media. These papers include:

  • A remark about the periodic homogenization of certain composite fibered media, 2020, Networks and Heterogeneous Media
  • The ergodic limit for weak solutions of elliptic equations with Neumann boundary condition, 2020, Mathematics in Engineering

While not the primary author, Murat has co-authored works alongside researchers such as Juan Casado-Díaz, Ali Sili, Alessio Porretta, Daniela Giachetti, and Pedro J. Martínez−Aparicio. These frequent collaborators represent various aspects of the mathematical sciences, extending into nonlinear analysis and partial differential equations.

Publication venues for Murat's work include:

  • Networks and Heterogeneous Media
  • Annales de l'Institut Henri Poincaré C Analyse Non Linéaire
  • Mathematics in Engineering
  • arXiv (Cornell University)

Murat's contributions appear within an international context, touching on theoretical and applied aspects of mathematics. This includes investigations into nonlinearities and singularities within elliptic partial differential equations, as seen in works like A remark about the periodic homogenization of certain composite fibered media and studies on the ergodic limits in elliptic equations.

Best Publications

  • Definition and weak stability of nonconservative products

    G Dal Maso;P. G Lefloch;F Murat

  • Compacité par compensation

    François Murat

  • W1,p-quasiconvexity and variational problems for multiple integrals

    J.M Ball;F Murat

  • Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations

    Lucio Boccardo;François Murat

  • Renormalized solutions of elliptic equations with general measure data

    Gianni Dal Maso;François Murat;Luigi Orsina;Alain Prignet

  • Homogenization and optimal bounds in linear elasticity

    Unknown

  • Existence of bounded solutions for non linear elliptic unilateral problems

    L. Boccardo;F. Murat;J. P. Puel

  • Renormalised solutions of nonlinear parabolic problems with L1 data: existence and uniqueness

    D. Blanchard;F. Murat

  • On a non linear partial differential equation having natural growth terms and unbounded solution

    A. Bensoussan;L. Boccardo;F. Murat

  • Etude de Problème d'Optimal Design

    François Murat;Jacques Simon

  • L ∞ Estimate for some nonlinear elliptic partial differential equations and application to an existence result

    L. Boccardo;F. Murat;J.-P. Puel

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

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

  • The Stokes and Navier-Stokes equations with boundary conditions involving the pressure

    C. Conca;F. Murat;O. Pironneau

  • Compacité par compensation : condition nécessaire et suffisante de continuité faible sous une hypothèse de rang constant

    François Murat

  • Existence and Uniqueness of a Renormalized Solution for a Fairly General Class of Nonlinear Parabolic Problems

    Dominique Blanchard;Dominique Blanchard;François Murat;Hicham Redwane

  • Résultats d'existence pour certains problèmes elliptiques quasilinéaires

    L. Boccardo;F. Murat;J. P. Puel

  • A Strange Term Coming from Nowhere

    Unknown

  • Nonlinear problems having natural growth in the gradient: an existence result when the source terms are small

    Vincenzo Ferone;François Murat

  • Existence de solutions non bornées pour certaines équations quasi-linéaires

    L. Boccardo;F. Murat;J.P. Puel

  • Remarks on Chacon’s biting lemma

    J. M. Ball;F. Murat

  • Existence results for some quasilinear parabolic equations

    L. Boccardo;F. Murat;J.-P. Puel

  • Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems

    Gianni Dal Maso;Francois Murat

Frequent Co-Authors

Lucio Boccardo
Lucio Boccardo Sapienza University of Rome
Gianni Dal Maso
Gianni Dal Maso International School for Advanced Studies
Alain Bensoussan
Alain Bensoussan The University of Texas at Dallas
Alessio Porretta
Alessio Porretta University of Rome Tor Vergata
Olivier Pironneau
Olivier Pironneau Sorbonne University
Philippe G. LeFloch
Philippe G. LeFloch Sorbonne University
Thierry Gallouët
Thierry Gallouët Aix-Marseille University
Jacques Simon
Jacques Simon Centre national de la recherche scientifique, CNRS
Grégoire Allaire
Grégoire Allaire École Polytechnique
John M. Ball
John M. Ball University of Oxford

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