World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
36
Citations
6709
World Ranking
2608
National Ranking
155

Yvan Martel 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 Yvan Martel 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: 96 publications — 9th percentile

9% of scientists in this discipline score the same or lower.

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

Yvan Martel 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 Yvan Martel 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: 36 D-Index — 29th percentile

29% of scientists in this discipline score the same or lower.

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

Overview

Yvan Martel is affiliated with École Polytechnique in France and has contributed extensively to research in physics and mathematics. Their work predominantly focuses on advanced mathematical physics problems and nonlinear systems, with significant attention to nonlinear waves and solitons.

Their main fields of study include:

  • Physics and Astronomy
  • Mathematics

Within these areas, their subfields of study cover:

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Applied Mathematics
  • General Health Professions
  • Atomic and Molecular Physics, and Optics

The primary topics addressed in their research are:

  • Advanced Mathematical Physics Problems
  • Nonlinear Photonic Systems
  • Nonlinear Waves and Solitons
  • Navier-Stokes Equation Solutions
  • Cold Atom Physics and Bose-Einstein Condensates
  • Stochastic Processes and Statistical Mechanics
  • Random Matrices and Applications

Martel's recent published papers illustrate their focus on nonlinear wave equations and soliton dynamics:

  • "Soliton Resolution for Critical Co-rotational Wave Maps and Radial Cubic Wave Equation," 2022, Communications in Mathematical Physics
  • "Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5," 2020, Journal de Mathématiques Pures et Appliquées
  • "Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes," 2021, Journal of the European Mathematical Society
  • "A Sufficient Condition for Asymptotic Stability of Kinks in General (1+1)-Scalar Field Models," 2021, Annals of PDE
  • "Description and Classification of 2-Solitary Waves for Nonlinear Damped Klein-Gordon Equations," 2021, Communications in Mathematical Physics

The venues where Martel frequently publishes include:

  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Journal de Mathématiques Pures et Appliquées
  • Journal of the European Mathematical Society
  • Annals of PDE

Collaborations play a notable role in their research. Their frequent co-authors are:

  • Michał Kowalczyk
  • Claudio Muñoz
  • Thomas Duyckaerts
  • Carlos E. Kenig
  • Frank Merle

Best Publications

  • An Introduction to Semilinear Evolution Equations

    Thierry Cazenave;Alain Haraux;Yvan Martel

  • Blow up for $u_t-\Delta u=g(u)$ revisited

    Haïm Brezis;Thierry Cazenave;Yvan Martel;Arthur Ramiandrisoa

  • ASYMPTOTIC N-SOLITON-LIKE SOLUTIONS OF THE SUBCRITICAL AND CRITICAL GENERALIZED KORTEWEG-DE VRIES EQUATIONS

    Yvan Martel

  • Asymptotic Stability of Solitons¶for Subcritical Generalized KdV Equations

    Yvan Martel;Franck Merle

  • A Liouville theorem for the critical generalized Korteweg de Vries equation

    Yvan Martel;Franck Merle;Franck Merle

  • Stability and Asymptotic Stability for Subcritical gKdV Equations

    Yvan Martel;Frank Merle;Tai-Peng Tsai

  • Asymptotic stability of solitons of the subcritical gKdV equations revisited

    Yvan Martel;Franck Merle

  • Instability of solitons for the critical generalized Korteweg—de Vries equation

    Yvan Martel;Franck Merle

  • Blow up in finite time and dynamics of blow up solutions for the ²–critical generalized KdV equation

    Yvan Martel;Frank Merle

  • Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation

    Yvan Martel;Frank Merle

  • Construction of multi-soliton solutions for the $L^2$-supercritical gKdV and NLS equations

    Raphaël Côte;Yvan Martel;Frank Merle

  • Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier

    Xavier Cabré;Yvan Martel

  • Kink dynamics in the $\phi ^4$ model: Asymptotic stability for odd perturbations in the energy space

    Michał Kowalczyk;Yvan Martel;Claudio Muñoz

  • Multi solitary waves for nonlinear Schrödinger equations

    Yvan Martel;Frank Merle

  • Asymptotic stability of solitons of the gKdV equations with general nonlinearity

    Yvan Martel;Frank Merle

  • Blow up for the critical generalized Korteweg–de Vries equation. I: Dynamics near the soliton

    Yvan Martel;Yvan Martel;Frank Merle;Pierre Raphaël;Pierre Raphaël

  • Stability in H1 of the sum of K solitary waves for some nonlinear Schrödinger equations

    Yvan Martel;Franck Merle;Tai-Peng Tsai

  • Description of two soliton collision for the quartic gKdV equation

    Yvan Martel;Frank Merle

  • Two‐soliton solutions to the three‐dimensional gravitational Hartree equation

    Joachim Krieger;Yvan Martel;Pierre Raphael

  • Weak Eigenfunctions for the Linearization of Extremal Elliptic Problems

    Xavier Cabré;Yvan Martel

  • Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations

    Yvan Martel;Frank Merle;Tai-Peng Tsai

Frequent Co-Authors

Frank Merle
Frank Merle CY Cergy Paris University
Pierre Raphaël
Pierre Raphaël Université Côte d'Azur
Thierry Cazenave
Thierry Cazenave Sorbonne University
Carlos E. Kenig
Carlos E. Kenig University of Chicago
Xavier Cabré
Xavier Cabré Universitat Politècnica de Catalunya
Philippe Souplet
Philippe Souplet Paris 13 University
Haim Brezis
Haim Brezis Rutgers, The State University of New Jersey
Kenji Nakanishi
Kenji Nakanishi Kyoto University

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