Raphaël DANCHIN

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Publications

Nom:	DANCHIN
Prénom:	Raphaël
Site:	UPEC
Bureau:	P3 409
Téléphone:	+33 1 45 17 65 93
Situation:	Permanent
Statut:	Professeur
Équipe de recherche:	Équations aux dérivées partielles
Courriel:	raphael.danchin@u-pec.fr
Page personnelle:	http://perso.math.u-pem.fr/danchin.raphael/

FUJITA-KATO SOLUTIONS AND OPTIMAL TIME DECAY FOR THE VLASOV-NAVIER-STOKES SYSTEM IN THE WHOLE SPACE

auteur

Raphaël Danchin

(2024)
GLOBAL WELL-POSEDNESS FOR 2D INHOMOGENEOUS VISCOUS FLOWS WITH ROUGH DATA VIA DYNAMIC INTERPOLATION

auteur

Raphaël Danchin

(2024)
Local existence for systems of conservation laws with partial diffusion.

auteur

Adogbo Jean-Paul, Raphaël Danchin

(2024)
Free Boundary Problems via Da Prato--Grisvard Theory

auteur

Raphaël Danchin, Matthias Hieber, Piotr Bogusław Mucha, Patrick Tolksdorf

Memoirs of the American Mathematical Society (2023)
COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH RIPPED DENSITY

auteur

Raphaël Danchin, Piotr Bogusław Mucha

Communications on Pure and Applied Mathematics 76 (2023) 3437-3492
ON THE DECAY AND GEVREY REGULARITY OF THE SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN GENERAL TWO-DIMENSIONAL DOMAINS

auteur

Raphaël Danchin

Annales de la Faculté des Sciences de Toulouse. Mathématiques. (2023)
Global solutions for two-dimensional viscous pressureless flows with large variations of density

auteur

Raphaël Danchin

Probability and Mathematical Physics (2023)
Global existence for partially dissipative hyperbolic systems in the Lp framework, and relaxation limit

auteur

Timothée Crin-Barat, Raphaël Danchin

Mathematische Annalen 386 (2023) 2159-2206
PARTIALLY DISSIPATIVE SYSTEMS IN THE CRITICAL REGULARITY SETTING, AND STRONG RELAXATION LIMIT

auteur

Raphaël Danchin

EMS Surveys in Mathematical Sciences 386 (2023) 2159-2206
On the Global Existence for the Compressible Euler–Riesz System

auteur

R. Danchin, B. Ducomet

Journal of Mathematical Fluid Mechanics 24 (2022) 48
Critical regularity issues for the compressible Navier--Stokes system in bounded domains

auteur

Raphaël Danchin, Patrick Tolksdorf

(2022)
Analysis on the Heisenberg group

auteur

Hajer Bahouri, Jean-Yves Chemin, Raphaël Danchin

(2022)
On the global existence for the compressible Euler–Poisson system, and the instability of static solutions

auteur

R. Danchin, B. Ducomet

Journal of Evolution Equations 21 (2021) 3035-3054
On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces

auteur

Raphaël Danchin, Jin Tan

Communications in Partial Differential Equations 46 (2021) 31-65
Lorentz spaces in action on pressureless systems arising from models of collective behavior

auteur

Raphaël Danchin, Piotr Bogusław Mucha, Patrick Tolksdorf

Journal of Evolution Equations 21 (2021) 3103-3127
A well-posedness result for viscous compressible fluids with only bounded density

auteur

Raphaël Danchin, Francesco Fanelli, Marius Paicu

Analysis & PDE 13 (2020)
From compressible to incompressible inhomogeneous flows in the case of large data

auteur

Raphaël Danchin, Piotr Bogusław Mucha

Tunisian Journal of Mathematics 1 (2019) 127-149
The incompressible navier-stokes equations in vacuum

auteur

Raphaël Danchin, Piotr Bogusław Mucha

Communications on Pure and Applied Mathematics 72 (2019) 1351-1385
On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equations

auteur

Xin Zhang, Raphaël Danchin

Journal de l'École polytechnique — Mathématiques 4 (2017) 781-811
On the global existence and time decay estimates in critical spaces for the Navier–Stokes–Poisson system

auteur

Noboru Chikami, Raphaël Danchin

Mathematical News / Mathematische Nachrichten (2017)
Compressible Navier-Stokes system : large solutions and incompressible limit

auteur

Raphaël Danchin, Piotr B. Mucha

Advances in Mathematics 320 (2017) 904–925
Fourier analysis methods for compressible flows

auteur

Raphaël Danchin

(2016)
On the persistence of H\"older regular patches of density for the inhomogeneous Navier-Stokes equations

auteur

Raphaël Danchin, Xin Zhang

(2016)
DIFFUSIVE LIMITS FOR A BAROTROPIC MODEL OF RADIATIVE FLOW

auteur

Raphaël Danchin, Bernard Ducomet

Confluentes Mathematici 8 (2016) 31-87
The incompressible limit in $L^p$ type critical spaces

auteur

Raphaël Danchin, Lingbing He

Mathematische Annalen 366 (2016) 1365-1402
Fourier analysis methods for the compressible Navier-Stokes equations

auteur

Raphaël Danchin

(2015)
Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density

auteur

Raphaël Danchin, Ping Zhang

Journal of Functional Analysis 267 (2014) 2371–2436
A Lagrangian approach for the compressible Navier-Stokes equations

auteur

Raphaël Danchin

Annales de l'Institut Fourier 64 (2014) 753-791
On a simplified model for radiating flows

auteur

Raphaël Danchin, Bernard Ducomet

Journal of Evolution Equations 14 (2014) 155-195
The Oberbeck-Boussinesq approximation in critical spaces

auteur

Raphaël Danchin, Lingbing He

Asymptotic Analysis 84 (2013) 61-102
New maximal regularity results for the heat equation in exterior domains, and applications

auteur

Raphaël Danchin, Piotr Bogusław Mucha

Discrete and Continuous Dynamical Systems - Series B (2013) Chapter 6
Incompressible flows with piecewise constant density

auteur

Raphaël Danchin, Piotr Bogusław Mucha

Archive for Rational Mechanics and Analysis 207 (2013) 991-1023
Madelung, Gross-Pitaevskii and Korteweg

auteur

Rémi Carles, Raphaël Danchin, Jean-Claude Saut

Nonlinearity 25 (2012) 2843-2873
A survey on Fourier analysis methods for solving the compressible Navier-Stokes equations

auteur

Raphaël Danchin

Science China Mathematics 55 (2012) 245--275
On the well-posedness of the full low-Mach number limit system in general critical Besov spaces

auteur

Raphaël Danchin, Xian Liao

Communications in Contemporary Mathematics 14 (2012) 47 pages
GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO

auteur

Raphaël Danchin, Marius Paicu

Mathematical Models and Methods in Applied Sciences 21 (2011) 421-457
Fourier Analysis and Nonlinear Partial Differential Equations

auteur

Hajer Bahouri, Jean-Yves Chemin, Raphaël Danchin

343 (2011) 523 pages
The well-posedness issue for the density-dependent in endpoint Besov spaces

auteur

Raphaël Danchin, Francesco Fanelli

Journal de Mathématiques Pures et Appliquées 96 (2011) 253--278
ON THE LINEAR WAVE REGIME OF THE GROSS-PITAEVSKII EQUATION

auteur

Fabrice Bethuel, Raphaël Danchin, Didier Smets

Journal d'analyse mathématique 110 (2010) 297--338
A Global Existence Result for the Compressible Navier-Stokes Equations in the Critical L(p) Framework

auteur

Frederic Charve, Raphaël Danchin

Archive for Rational Mechanics and Analysis 198 (2010) 233--271
On the well-posedness of the incompressible density-dependent Euler equations in the $L^p$ framework

auteur

Raphaël Danchin

Journal of Differential Equations 248 (2010) 2130-2170
On the solvability of the compressible Navier-Stokes system in bounded domains

auteur

Raphaël Danchin

Nonlinearity 23 (2010) 383--407
A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space

auteur

Raphaël Danchin, Piotr Boguslaw Mucha

Journal of Functional Analysis 256 (2009) 881--927
Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces

auteur

Raphaël Danchin, Marius Paicu

Physica D: Nonlinear Phenomena 237 (2008) 1444--1460
Les équations d'Euler, des ondes et de Korteweg-de Vries comme limites asymptotiques de l'équation de Gross-Pitaevskii

auteur

Raphaël Danchin, Fabrice Bethuel, Philippe Gravejat, Jean-Claude Saut, Didier Smets

Séminaire: Équations aux Dérivées Partielles. 2008-2009 (2008) 12 pages