World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
33
Citations
3179
World Ranking
3082
National Ranking
32

Felipe Linares 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 Felipe Linares 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: 92 publications — 7th percentile

7% of scientists in this discipline score the same or lower.

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

Felipe Linares 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 Felipe Linares 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: 33 D-Index — 17th percentile

17% of scientists in this discipline score the same or lower.

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

Overview

Felipe Linares is affiliated with the Instituto Nacional de Matemática Pura e Aplicada in Brazil. Their research primarily spans Mathematics and Physics and Astronomy, with a focus on mathematical problems related to physical phenomena.

The scientist has contributed extensively to the study of advanced mathematical physics topics. Their work often intersects the fields of Mathematical Physics and Statistical and Nonlinear Physics, with applications in areas such as nonlinear waves and solitons.

Main topics of Felipe Linares' research include:

  • Advanced Mathematical Physics Problems
  • Nonlinear Waves and Solitons
  • Navier-Stokes equation solutions
  • Nonlinear Photonic Systems
  • Spectral Theory in Mathematical Physics
  • Algebraic structures and combinatorial models
  • Advanced Harmonic Analysis Research

Their publications have appeared in various specialized journals and venues where they have an ongoing presence, such as:

  • arXiv (Cornell University)
  • Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • SIAM Journal on Mathematical Analysis
  • Bulletin of the Brazilian Mathematical Society New Series
  • Vietnam Journal of Mathematics

Selected recent papers authored by Felipe Linares include:

  • "Unique continuation properties for solutions to the Camassa-Holm equation and related models" (2020), published in Proceedings of the American Mathematical Society
  • "The Cauchy problem for the L2-critical generalized Zakharov-Kuznetsov equation in dimension 3" (2021), published in Communications in Partial Differential Equations
  • "Asymptotic Behavior of Solutions of the Dispersion Generalized Benjamin-Ono Equation" (2020), published in Journal of Dynamics and Differential Equations
  • "On Long Time Behavior of Solutions of the Schrödinger--Korteweg--de Vries System" (2021), published in SIAM Journal on Mathematical Analysis

Frequent collaborators include Gustavo Ponce, João P. G. Ramos, Argenis J. Mendez, Didier Pilod, and Christian Klein. These coauthors have worked with Felipe Linares on multiple research projects, contributing to their publication record.

Best Publications

  • Global Existence of Small Solutions for a Generalized Boussinesq Equation

    Unknown

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

    David Lannes;Felipe Linares;Jean-Claude Saut

  • Well-Posedness for the Two-Dimensional Modified Zakharov-Kuznetsov Equation

    Unknown

  • Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations

    Unknown

  • On the Davey-Stewartson systems

    Felipe Linares;Gustavo Ponce

  • The Cauchy problem for the 3D Zakharov-Kuznetsov equation

    Felipe Linares;Jean-Claude Saut

  • Well-Posedness for the ZK Equation in a Cylinder and on the Background of a KdV Soliton

    Felipe Linares;Ademir Pastor;Jean-Claude Saut

  • On a Degenerate Zakharov System

    F. Linares;G. Ponce;J-C. Saut

  • Well-posedness for the Schrödinger-Korteweg-de Vries system

    Unknown

  • GLOBAL WELL-POSEDNESS FOR THE MODIFIED KORTEWEG-DE VRIES EQUATION

    German Fonsecal;Felipe Linares;Gustavo Ponce

  • On Whitham and Related Equations

    Christian Klein;Felipe Linares;Didier Pilod;Jean-Claude Saut

  • Asymptotic behavior of solutions of a generalized Boussinesq type equation

    Unknown

  • The IVP for the dispersion generalized Benjamin–Ono equation in weighted Sobolev spaces

    Germán Fonseca;Felipe Linares;Gustavo Ponce

  • Global existence for the critical generalized KdV equation

    G. Fonseca;F. Linares;G. Ponce

  • L2Global Well-Posedness of the Initial Value Problem Associated to the Benjamin Equation

    Unknown

  • Well-posedness Results for the Modified Zakharov-Kuznetsov Equation

    Unknown

  • A higher-order nonlinear Schrödinger equation with variable coefficients

    Unknown

  • Well-Posedness of Strongly Dispersive Two-Dimensional Surface Wave Boussinesq Systems

    Felipe Linares;Didier Pilod;Jean-Claude Saut

  • The supercritical generalized KdV equation: Global well-posedness in the energy space and below

    Luiz Gustavo Farah;Felipe Linares;Ademir Pastor

  • Scaling, stability and singularities for nonlinear, dispersive wave equations: the critical case

    J Angulo;J L Bona;F Linares;M Scialom

  • The Cauchy Problem for the Fractional Kadomtsev--Petviashvili Equations

    Felipe Linares;Didier Pilod;Jean-Claude Saut

  • Remarks on the orbital stability of ground state solutions of fKdV and related equations

    Felipe Linares;Didier Pilod;Jean-Claude Saut

  • Unique continuation properties for solutions to the Camassa-Holm equation and related models

    Felipe Linares;Gustavo Ponce

  • On the Propagation of Regularity and Decay of Solutions to the k-Generalized Korteweg-de Vries Equation

    Pedro Isaza;Felipe Linares;Gustavo Ponce

  • Control and Stabilization of the Benjamin-Ono Equation on a Periodic Domain

    Felipe Linares;Lionel Rosier

  • On the regularity of solutions to a class of nonlinear dispersive equations

    Felipe Linares;Gustavo Ponce;Derek L. Smith

  • On the propagation of regularities in solutions of the Benjamin-Ono equation

    Pedro Isaza;Felipe Linares;Gustavo Ponce

  • On decay properties of solutions of the $k$-generalized KdV equations

    Pedro Isaza;Felipe Linares;Gustavo Ponce

Frequent Co-Authors

Gustavo Ponce
Gustavo Ponce University of California, Santa Barbara
Jean-Claude Saut
Jean-Claude Saut University of Paris-Saclay
Lionel Rosier
Lionel Rosier PSL University
James D. Wright
James D. Wright Rutgers, The State University of New Jersey
Carlos E. Kenig
Carlos E. Kenig University of Chicago
Nikolay Tzvetkov
Nikolay Tzvetkov École Normale Supérieure de Lyon
Luis Vega
Luis Vega University of the Basque Country

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