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Mathematics

D-Index
70
Citations
13538
World Ranking
280
National Ranking
153

Research.com Recognitions

  • 2001 - Fellow of Alfred P. Sloan Foundation

Overview

Nader Masmoudi is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research spans across engineering and mathematics, with a strong emphasis on computational mechanics and applied mathematics. They have contributed extensively to the understanding of fluid dynamics, partial differential equations, and mathematical physics.

The scientist's recent publications include:

  • Stability threshold of two-dimensional Couette flow in Sobolev spaces, 2022, Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • Long-Time Instability of the Couette Flow in Low Gevrey Spaces, 2023, Communications on Pure and Applied Mathematics
  • Enhanced dissipation for the 2D couette flow in critical space, 2020, Communications in Partial Differential Equations
  • Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case, 2020, Memoirs of the American Mathematical Society
  • Well-Posedness in Gevrey Function Space for 3D Prandtl Equations without Structural Assumption, 2021, Communications on Pure and Applied Mathematics

They have frequently collaborated with several researchers including Tej-Eddine Ghoul, Weiren Zhao, Mohamed Ghattassi, Charles Collot, and Xiaokai Huo.

Publication venues where Masmoudi has numerous contributions include:

  • arXiv (Cornell University)
  • Communications on Pure and Applied Mathematics
  • Archive for Rational Mechanics and Analysis
  • Journal de Mathématiques Pures et Appliquées
  • Communications in Partial Differential Equations

In addition to articles, Masmoudi has published books with notable academic presses. These include two books with Princeton University Press titled Intermittent Convex Integration for the 3D Euler Equations (both published in 2023), as well as a book with Memoirs of the European Mathematical Society titled Long-Time Dispersive Estimates for Perturbations of a Kink Solution of One-Dimensional Cubic Wave Equations (2022).

The main fields of their research activity are:

  • Engineering
  • Mathematics

The key subfields they focus on include:

  • Computational Mechanics
  • Applied Mathematics
  • Mathematical Physics
  • Control and Systems Engineering
  • Statistical and Nonlinear Physics

Main topics of their scholarly work cover:

  • Navier-Stokes equation solutions
  • Fluid Dynamics and Turbulent Flows
  • Advanced Mathematical Physics Problems
  • Stability and Controllability of Differential Equations
  • Gas Dynamics and Kinetic Theory
  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Mathematical Modeling in Engineering

Among the awards received, Masmoudi was named a Fellow of the Alfred P. Sloan Foundation in 2001.

Best Publications

  • Incompressible limit for a viscous compressible fluid

    Pierre-Louis Lions;Nader Masmoudi

  • Global solutions for the gravity water waves equation in dimension 3

    Pierre Germain;Nader Masmoudi;Jalal Shatah

  • Infinite time aggregation for the critical Patlak-Keller-Segel model in ℝ2

    Adrien Blanchet;José A. Carrillo;Nader Masmoudi

  • About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids

    Jean Yves Chemin;Nader Masmoudi

  • GLOBAL SOLUTIONS FOR SOME OLDROYD MODELS OF NON-NEWTONIAN FLOWS

    P. L. Lions;N. Masmoudi

  • Incompressible Limit for Solutionsof the Isentropic Navier–Stokes Equationswith Dirichlet Boundary Conditions

    B. Desjardins;E. Grenier;P.-L. Lions;N. Masmoudi

  • Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations

    Jacob Bedrossian;Nader Masmoudi

  • The Zero Surface Tension Limit of Two-Dimensional Water Waves

    David M. Ambrose;Nader Masmoudi

  • Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods

    Nader Masmoudi;Tak Kwong Wong

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

    Nader Masmoudi;Frédéric Rousset

  • Remarks about the Inviscid Limit of the Navier–Stokes System

    Nader Masmoudi

  • Global Solutions for 3D Quadratic Schrödinger Equations

    Pierre Germain;Nader Masmoudi;Jalal Shatah

  • Well-posedness of Compressible Euler Equations in a Physical Vacuum

    Juhi Jang;Nader Masmoudi

  • Well-posedness for the Prandtl system without analyticity or monotonicity

    David Gérard-Varet;Nader Masmoudi

  • Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the 2D Couette flow

    Jacob Bedrossian;Nader Masmoudi;Vlad Vicol

  • From the Boltzmann Equations¶to the Equations of¶Incompressible Fluid Mechanics, II

    P.-L. Lions;N. Masmoudi

  • Well-posedness for compressible Euler equations with physical vacuum singularity

    Juhi Jang;Nader Masmoudi

  • Anisotropic estimates and strong solutions of the primitive equations

    F Guillen-Gonzalez;Nader Masmoudi;MA Rodriguez-Bellido

  • On the stability threshold for the 3D Couette flow in Sobolev regularity

    Jacob Bedrossian;Pierre Germain;Nader Masmoudi

  • Enhanced Dissipation and Inviscid Damping in the Inviscid Limit of the Navier–Stokes Equations Near the Two Dimensional Couette Flow

    Jacob Bedrossian;Nader Masmoudi;Vlad Vicol

  • Chapter 3 Examples of singular limits in hydrodynamics

    Nader Masmoudi

  • Incompressible, inviscid limit of the compressible Navier-Stokes system

    Nader Masmoudi

  • About the Hardy Inequality

    Nader Masmoudi

Frequent Co-Authors

Kenji Nakanishi
Kenji Nakanishi Kyoto University
Pierre-Louis Lions
Pierre-Louis Lions Collège de France
Jalal Shatah
Jalal Shatah Courant Institute of Mathematical Sciences
Fabrice Planchon
Fabrice Planchon Sorbonne University
Vlad Vicol
Vlad Vicol Courant Institute of Mathematical Sciences
Clément Mouhot
Clément Mouhot University of Cambridge
Frédéric Rousset
Frédéric Rousset University of Paris-Saclay
C. David Levermore
C. David Levermore University of Maryland, College Park
James Colliander
James Colliander University of British Columbia
Igor Kukavica
Igor Kukavica University of Southern California

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