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Mathematics

D-Index
44
Citations
11650
World Ranking
1550
National Ranking
90

Overview

Raphaël Danchin is affiliated with Paris-Est Créteil University in France. Their research primarily focuses on topics within mathematics and engineering, with a strong concentration in applied mathematics and mathematical physics.

The main fields of study include:

  • Mathematics
  • Engineering

Within these fields, specific subfields of study are:

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

The core topics covered in their work are:

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

Raphaël Danchin has contributed publications to several academic venues, with frequent appearances in:

  • arXiv (Cornell University)
  • Mathematische Annalen
  • Journal of Evolution Equations
  • Journal de Mathématiques Pures et Appliquées
  • Pure and Applied Analysis

Some of the recent papers authored or coauthored by Danchin include:

  • "Partially dissipative hyperbolic systems in the critical regularity setting: The multi-dimensional case," 2022, Journal de Mathématiques Pures et Appliquées
  • "Partially dissipative one-dimensional hyperbolic systems in the critical regularity setting, and applications," 2022, Pure and Applied Analysis
  • "Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity," 2021, Indiana University Mathematics Journal
  • "Global existence for partially dissipative hyperbolic systems in the Lp framework, and relaxation limit," 2022, Mathematische Annalen
  • "Global Unique Solutions for the Inhomogeneous Navier-Stokes equations with only Bounded Density, in Critical Regularity Spaces," 2022, Communications in Mathematical Physics

Frequent coauthors collaborating with Raphaël Danchin include:

  • Piotr B. Mucha
  • Timothée Crin-Barat
  • Patrick Tolksdorf
  • Shan Wang
  • Jean-Paul Adogbo

Best Publications

  • Fourier Analysis and Nonlinear Partial Differential Equations

    Hajer Bahouri;Jean-Yves Chemin;Raphaël Danchin

  • Global existence in critical spaces for compressible Navier-Stokes equations

    R. Danchin

  • A few remarks on the Camassa-Holm equation

    Unknown

  • A note on well-posedness for Camassa-Holm equation

    Raphaël Danchin

  • LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES

    Raphaël Danchin

  • Density-dependent incompressible viscous fluids in critical spaces

    R. Danchin

  • GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO

    Raphaël Danchin;Marius Paicu

  • A Lagrangian Approach for the Incompressible Navier-Stokes Equations with Variable Density

    Raphaël Danchin;Piotr Bogusław Mucha

  • Global Existence in Critical Spaces¶for Flows of Compressible¶Viscous and Heat-Conductive Gases

    Raphaël Danchin

  • A Global Existence Result for the Compressible Navier-Stokes Equations in the Critical L p Framework

    Frédéric Charve;Raphaël Danchin

  • Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich’s Type Data

    Raphaël Danchin;Marius Paicu

  • Existence of solutions for compressible fluid models of Korteweg type

    Raphaël Danchin;Benoı̂t Desjardins

  • Les théorèmes de Leray et de Fujita-Kato pour le système de Boussinesq partiellement visqueux

    Raphaël Danchin;Marius Paicu

  • Zero Mach number limit for compressible flows with periodic boundary conditions

    R. Danchin

  • Zero Mach number limit in critical spaces for compressible Navier–Stokes equations

    Raphaël Danchin

  • Well-Posedness in Critical Spaces for Barotropic Viscous Fluids with Truly Not Constant Density

    R. Danchin

  • LOCAL AND GLOBAL WELL-POSEDNESS RESULTS FOR FLOWS OF INHOMOGENEOUS VISCOUS FLUIDS

    R. Danchin

  • On the well-posedness for the Euler-Korteweg model in several space dimensions

    Sylvie Benzoni-Gavage;Raphaël Danchin;S. Descombes

  • On the uniqueness in critical spaces for compressible Navier-Stokes equations

    R. Danchin

  • Optimal Time-decay Estimates for the Compressible Navier-Stokes Equations in the Critical L p Framework

    Raphaël Danchin;Jiang Xu

  • On the well-posedness of the incompressible density-dependent Euler equations in the Lp framework

    Raphaël Danchin

  • Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces

    Raphaël Danchin;Marius Paicu

Frequent Co-Authors

Jean-Claude Saut
Jean-Claude Saut University of Paris-Saclay

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