World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
53
Citations
10515
World Ranking
908
National Ranking
45

Jean-Claude Saut 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 Jean-Claude Saut 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: 82 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: 139 publications — 32nd percentile

32% of scientists in this discipline score the same or lower.

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

Jean-Claude Saut 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 Jean-Claude Saut 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: 137 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: 53 D-Index — 76th percentile

76% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2020 - Fellow of the American Mathematical Society For contributions to the theory of partial differential equations.

Overview

Jean-Claude Saut is affiliated with the University of Paris-Saclay in France. Their research encompasses various domains within mathematics and physics, with a particular focus on partial differential equations and nonlinear wave phenomena.

The primary fields of study covered by their work include:

  • Mathematics
  • Physics and Astronomy

More specifically, their contributions fall into subfields such as:

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Applied Mathematics
  • Oceanography
  • Numerical Analysis

Their research topics include:

  • Advanced Mathematical Physics Problems
  • Nonlinear Waves and Solitons
  • Navier-Stokes equation solutions
  • Nonlinear Photonic Systems
  • Ocean Waves and Remote Sensing
  • Differential Equations and Numerical Methods
  • Oceanographic and Atmospheric Processes

They have published extensively across a variety of academic venues. Frequent publication locations include:

  • arXiv (Cornell University)
  • SIAM Journal on Mathematical Analysis
  • Journal of Differential Equations
  • Discrete and Continuous Dynamical Systems
  • Communications in Partial Differential Equations

Some recent papers authored or coauthored by Jean-Claude Saut are:

  • The Wave Breaking for Whitham-Type Equations Revisited (2022), SIAM Journal on Mathematical Analysis
  • Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity (2020), Discrete and Continuous Dynamical Systems
  • Normal Mode Decomposition and Dispersive and Nonlinear Mixing in Stratified Fluids (2020), Water Waves
  • On the Long Time Behavior of Solutions to the Intermediate Long Wave Equation (2021), SIAM Journal on Mathematical Analysis
  • On the modified fractional Korteweg-de Vries and related equations (2022), Nonlinearity

The scientist has collaborated frequently with a select group of coauthors, including:

  • Christian Klein
  • Yuexun Wang
  • Li Xu
  • Didier Pilod
  • Nikola Stoilov

Jean-Claude Saut has also contributed to academic literature in book format, notably publishing with Springer Nature. Their book, Nonlinear Dispersive Equations, was released in 2021.

Among awards received, they were named a Fellow of the American Mathematical Society in 2020 for contributions to the theory of partial differential equations.

Best Publications

  • Boussinesq Equations and Other Systems for Small-Amplitude Long Waves in Nonlinear Dispersive Media. I: Derivation and Linear Theory

    Unknown

  • Local smoothing properties of dispersive equations

    Peter Constantin;Peter Constantin;J. C. Saut;J. C. Saut

  • Unique continuation for some evolution equations

    Jean-Claude Saut;Bruno Scheurer

  • Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory

    J. L. Bona;M. Chen;J. C. Saut

  • Nonlocal models for nonlinear, dispersive waves

    L. Abdelouhab;J. L. Bona;M. Felland;M. Felland;J. C. Saut

  • Ill-Posedness Issues for the Benjamin--Ono and Related Equations

    Luc Molinet;Jean-Claude Saut;Nikolay Tzvetkov

  • Hyperbolicity and change of type in the flow of viscoelastic fluids

    Daniel D. Joseph;Michael Renardy;Jean-Claude Saut

  • Global Existence of Small Solutions to a Relativistic Nonlinear Schrödinger Equation

    Anne De Bouard;Nakao Hayashi;Jean Claude Saut

  • Dispersion estimates for fourth order Schrödinger equations

    Matania Ben-artzi;Herbert Koch;Jean-Claude Saut

  • Remarks on the Korteweg-de Vries equation

    J. C. Saut;R. Temam

  • Quelques généralisations de l'équation de Korteweg-de Vries, II

    J.C Saut

  • Solitary waves of generalized Kadomtsev-Petviashvili equations

    Anne de Bouard;Jean-Claude Saut

  • Travelling Waves for the Gross-Pitaevskii Equation II

    Fabrice Béthuel;Philippe Gravejat;Jean Claude Saut

  • Generic properties of nonlinear boundary value problems

    J.C. Saut;R. Temam

  • Asymptotic Models for Internal Waves

    Jerry L. Bona;David Lannes;Jean-Claude Saut

  • Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation

    L. Molinet;J.-C. Saut;N. Tzvetkov

  • The Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation

    David Lannes;Felipe Linares;Jean-Claude Saut

  • Short-wave instabilities and ill-posed initial-value problems

    Daniel D. Joseph;Jean Claude Saut

  • Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves

    Anne De Bouard;Jean-Claude Saut

  • Change of type and loss of evolution in the flow of viscoelastic fluids

    D.D. Joseph;J.C. Saut

  • Dispersive Blowup of Solutions of Generalized Korteweg-de Vries Equations

    J.L. Bona;J.C. Saut

Frequent Co-Authors

Jerry L. Bona
Jerry L. Bona University of Illinois at Chicago
Luc Molinet
Luc Molinet François Rabelais University
Nakao Hayashi
Nakao Hayashi Osaka University
Nikolay Tzvetkov
Nikolay Tzvetkov École Normale Supérieure de Lyon
Ciprian Foias
Ciprian Foias Texas A&M University
Raphaël Danchin
Raphaël Danchin Paris-Est Créteil University
Gustavo Ponce
Gustavo Ponce University of California, Santa Barbara
Claude Bardos
Claude Bardos Université Paris Cité
Min Chen
Min Chen South China University of Technology
Michael Renardy
Michael Renardy Virginia Tech

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