World's Best Scientists 2026 revealed!
Frédéric Rousset

Frédéric Rousset

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

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Pursuing a Mathematics degree in the USA can open doors to diverse career pathways, from data analysis to finance. For those interested in advancing their business acumen alongside mathematical expertise, exploring accelerated mba programs online offers a fast-track to leadership roles. These programs are designed to be completed in less time while maintaining academic rigor.

Similarly, professionals aiming to blend marketing with quantitative skills might consider an online marketing degree. These affordable programs offer practical marketing knowledge with data-driven insights, enhancing career options in digital marketing and analytics.

For individuals seeking a structured yet expeditious graduate business education, enrolling in 1 year mba programs in usa is an ideal choice. These programs combine intensity with convenience, appealing to those eager to return to the workforce swiftly.

Additionally, many students wonder if they can maximize their previous coursework. Understanding can you transfer mba credits can help reduce both time and costs by applying past academic achievements toward new degrees.

Best Scientists Citing Frédéric Rousset

Trending Scientists