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Frédéric Rousset

Frédéric Rousset

Frédéric Rousset 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 Frédéric Rousset 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+

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

Frédéric Rousset 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 Frédéric Rousset 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+

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

Overview

Frédéric Rousset is affiliated with the University of Paris-Saclay in France. Their research primarily focuses on mathematical and engineering disciplines, with significant contributions to subfields such as mathematical physics, applied mathematics, numerical analysis, computational mechanics, and control and systems engineering.

The scientist's work extensively covers a range of topics, including:

  • Advanced Mathematical Physics Problems
  • Numerical methods for differential equations
  • Navier-Stokes equation solutions
  • Stability and Controllability of Differential Equations
  • Electromagnetic Simulation and Numerical Methods
  • Computational Fluid Dynamics and Aerodynamics
  • Fluid Dynamics and Turbulent Flows

Recent publications by Frédéric Rousset reflect ongoing research interests in numerical methods and fluid dynamics. Notable papers include:

  • "Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces" (2022), published in the Journal of the European Mathematical Society
  • "Uniform regularity for the compressible Navier-Stokes system with low Mach number in domains with boundaries" (2022), published in the Journal de Mathématiques Pures et Appliquées
  • "Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity" (2020), published in Foundations of Computational Mathematics
  • "Convergence error estimates at low regularity for time discretizations of KdV" (2022), published in Pure and Applied Analysis
  • "Stability of equilibria uniformly in the inviscid limit for the Navier-Stokes-Poisson system" (2020), published in Annales de l Institut Henri Poincaré C Analyse Non Linéaire

Frédéric Rousset frequently collaborates with other researchers in their field. Common co-authors include:

  • Katharina Schratz
  • Alexander Ostermann
  • Changzhen Sun
  • Nader Masmoudi
  • Daniel Han-Kwan

Their research has been disseminated in various academic venues, with multiple publications appearing in:

  • arXiv (Cornell University)
  • Annals of PDE
  • Foundations of Computational Mathematics
  • Mathematics of Computation
  • SIAM Journal on Numerical Analysis

Frédéric Rousset's work bridges theoretical and applied mathematics, particularly focusing on equations fundamental to fluid dynamics and computational methods. Their contributions span rigorous error analysis, stability studies, and numerical integrators in complex partial differential equations systems.

Best Publications

  • Uniform regularity for the Navier-Stokes equation with Navier boundary condition

    Nader Masmoudi;Frédéric Rousset

  • GLOBAL WELL-POSEDNESS FOR EULER-BOUSSINESQ SYSTEM WITH CRITICAL DISSIPATION

    Taoufik Hmidi;Sahbi Keraani;Frederic Rousset

  • Global well-posedness for a Boussinesq–Navier–Stokes system with critical dissipation

    Taoufik Hmidi;Sahbi Keraani;Frédéric Rousset

  • Transverse nonlinear instability for two-dimensional dispersive models

    Frédéric Rousset;Nikolay Tzvetkov

  • Uniform Regularity and Vanishing Viscosity Limit for the Free Surface Navier–Stokes Equations

    Nader Masmoudi;Frederic Rousset

  • Global Regularity for Some Oldroyd-B Type Models

    Tarek M. Elgindi;Frederic Rousset

  • Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data

    Taoufik Hmidi;Frédéric Rousset

  • Global well-posedness for the Euler-Boussinesq system with axisymmetric data

    Taoufik Hmidi;Frédéric Rousset

  • Transverse nonlinear instability of solitary waves for some Hamiltonian PDE's

    Frederic Rousset;Nikolay Tzvetkov

  • Transverse instability of the line solitary water-waves

    Frederic Rousset;Nikolay Tzvetkov

  • Generic types and transitions in hyperbolic initial–boundary-value problems

    Sylvie Benzoni-Gavage;Frédéric Rousset;Denis Serre;K. Zumbrun

  • Asymptotic stability of solitons for mKdV

    Pierre Germain;Fabio Pusateri;Frédéric Rousset;Frédéric Rousset

  • Quasineutral limit of the euler-poisson system for ions in a Domain with boundaries

    David Gérard-Varet;Daniel Han-Kwan;Frederic Rousset

  • Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method

    Emmanuel Grenier;Toan T. Nguyen;Frédéric Rousset;Avy Soffer;Avy Soffer

  • The KdV/KP-I Limit of the Nonlinear Schrödinger Equation

    David Chiron;Frédéric Rousset

  • Landau Damping in Sobolev Spaces for the Vlasov-HMF Model

    Erwan Faou;Frédéric Rousset

  • A simple criterion of transverse linear instability for solitary waves

    Frederic Rousset;Nikolay Tzvetkov

  • Characteristic boundary layers in real vanishing viscosity limits

    F. Rousset

  • Inviscid boundary conditions and stability of viscous boundary layers

    Frédéric Rousset

  • Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity

    Alexander Ostermann;Frédéric Rousset;Katharina Schratz

Frequent Co-Authors

Nikolay Tzvetkov
Nikolay Tzvetkov École Normale Supérieure de Lyon
Nader Masmoudi
Nader Masmoudi Courant Institute of Mathematical Sciences
Alexander Ostermann
Alexander Ostermann University of Innsbruck
François Gallaire
François Gallaire École Polytechnique Fédérale de Lausanne
Avy Soffer
Avy Soffer Rutgers, The State University of New Jersey
Jianfeng Lu
Jianfeng Lu Duke University
Björn Sandstede
Björn Sandstede Brown University
Christopher K. R. T. Jones
Christopher K. R. T. Jones University of North Carolina at Chapel Hill
Kevin Zumbrun
Kevin Zumbrun Indiana University

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