World's Best Scientists 2026 revealed!
François Murat

François Murat

D-Index & Metrics

Mathematics

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

François Murat publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where François Murat sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 130 publications — 27th percentile

27% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

François Murat D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where François Murat sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 45 D-Index — 61st percentile

61% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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