World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
53
Citations
15161
World Ranking
886
National Ranking
425

Gustavo Ponce 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 Gustavo Ponce 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: 142 publications — 34th percentile

34% of scientists in this discipline score the same or lower.

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

Gustavo Ponce 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 Gustavo Ponce 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

  • 2013 - Fellow of the American Mathematical Society

Overview

Gustavo Ponce is affiliated with the University of California, Santa Barbara in the United States. Their research primarily spans the fields of Mathematics and Physics and Astronomy, with significant contributions in areas such as Mathematical Physics, Statistical and Nonlinear Physics, and Geometry and Topology.

The scientist's research focuses on advanced mathematical physics problems, particularly in nonlinear waves and solitons, nonlinear photonic systems, and spectral theory in mathematical physics. Their interests also include algebraic structures, combinatorial models, and numerical methods applied to inverse problems.

Frequent publication venues for Gustavo Ponce include:

  • arXiv (Cornell University)
  • Vietnam Journal of Mathematics
  • Proceedings of the American Mathematical Society
  • Journal of Cleaner Production
  • SIAM Journal on Mathematical Analysis

Notable recent papers by Gustavo Ponce include:

  • Unique continuation properties for solutions to the Camassa-Holm equation and related models, 2020, Proceedings of the American Mathematical Society
  • Process design and evaluation of syngas-to-ethanol conversion plants, 2020, Journal of Cleaner Production
  • On the Long Time Behavior of Solutions to the Intermediate Long Wave Equation, 2021, SIAM Journal on Mathematical Analysis
  • Extension and Representation of Divergence-free Vector Fields on Bounded Domains, 2021, UNC Libraries
  • Asymptotic Behavior of Solutions of the Dispersion Generalized Benjamin-Ono Equation, 2020, Journal of Dynamics and Differential Equations

Gustavo Ponce has collaborated frequently with several researchers including:

  • Felipe Linares
  • Luis Vega
  • Christian Hong
  • Carlos E. Kenig
  • Didier Pilod

In 2013, Gustavo Ponce was recognized as a Fellow of the American Mathematical Society, a distinction that reflects involvement in the mathematical community.

Best Publications

  • Commutator estimates and the euler and navier‐stokes equations

    Tosio Kato;Gustavo Ponce

  • Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • A bilinear estimate with applications to the KdV equation

    Carlos Kenig;Gustavo Ponce;Luis Vega

  • Oscillatory integrals and regularity of dispersive equations

    C. E. Kenig;G. Ponce;L. Vega

  • Well-posedness of the initial value problem for the Korteweg-de Vries equation

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • Introduction to Nonlinear Dispersive Equations

    Felipe Linares;Gustavo Ponce

  • On the ill-posedness of some canonical dispersive equations

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • Global existence of small solutions to a class of nonlinear evolution equations

    Gustavo Ponce

  • Global, small amplitude solutions to nonlinear evolution equations

    S. Klainerman;Gustavo Ponce

  • Small solutions to nonlinear Schrödinger equations

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation

    A. Alexandrou Himonas;Gerard Misiołek;Gustavo Ponce;Yong Zhou

  • Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • On the global well-posedness of the Benjamin-Ono equation

    Gustavo Ponce

  • On the (generalized) Korteweg-de Vries equation

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • Quadratic forms for the 1-D semilinear Schrödinger equation

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • Local regularity of nonlinear wave equations in three space dimensions

    Gustavo Ponce;Thomas C. Sideris

  • The Cauchy problem for quasi-linear Schrödinger equations

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • Global Stability of Large Solutions to the 3D Navier-Stokes Equations

    G. Ponce;R. Racke;T. C. Sideris;E. S. Titi;E. S. Titi

  • Well-Posedness of the Euler and Navier-Stokes Equations in the Lebesgue Spaces $L^p_s(\mathbb R^2)$

    Tosio Kato;Gustavo Ponce

Frequent Co-Authors

Carlos E. Kenig
Carlos E. Kenig University of Chicago
Luis Vega
Luis Vega University of the Basque Country
Luis Escauriaza
Luis Escauriaza University of the Basque Country
Tosio Kato
Tosio Kato University of California, Berkeley
Jean-Claude Saut
Jean-Claude Saut University of Paris-Saclay
A. Alexandrou Himonas
A. Alexandrou Himonas University of Notre Dame
Jerry L. Bona
Jerry L. Bona University of Illinois at Chicago
Edriss S. Titi
Edriss S. Titi Texas A&M University
Michael Cowling
Michael Cowling University of New South Wales
Barry Simon
Barry Simon California Institute of Technology

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