Raphaël DANCHIN
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- Publications
| Nom: | DANCHIN |
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| 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 [at] u-pec.fr | |
| Page personnelle: | http://perso.math.u-pem.fr/danchin.raphael/ | |
Publications au sein du laboratoire
La liste ci-dessous présente les publications du membre obtenues pendant sa présence au sein du laboratoire. Les données proviennent des serveurs de HAL ; il peut donc y avoir des oublis, des doublons ou des erreurs.
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Global persistence of geometrical structures for the Boussinesq equation with no diffusionCommunications in Partial Differential Equations 42 (2017) 68-99
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OPTIMAL TIME-DECAY ESTIMATES FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE CRITICAL L p FRAMEWORKArchive for Rational Mechanics and Analysis 224 (2017) 53–90
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On the global existence and time decay estimates in critical spaces for the Navier–Stokes–Poisson systemMathematical News / Mathematische Nachrichten (2017)
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On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equationsJournal de l'École polytechnique — Mathématiques 4 (2017) 781-811
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DIFFUSIVE LIMITS FOR A BAROTROPIC MODEL OF RADIATIVE FLOWConfluentes Mathematici 8 1 (2016) 31-87
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The low match number limit for a barotropic model of radiative flowSIAM Journal on Mathematical Analysis 48 2 (2016) 1025–1053
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The incompressible limit in $L^p$ type critical spacesMathematische Annalen 366 (2016) 1365-1402
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Critical functional framework and maximal regularity in action on systems of incompressible flowsMémoires de la Société Mathématique de France 143 (2015) 151 pages
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A Lagrangian approach for the compressible Navier-Stokes equationsAnnales de l'Institut Fourier 64 2 (2014) 753-791
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Inhomogeneous Navier-Stokes equations in the half-space, with only bounded densityJournal of Functional Analysis 267 (2014) 2371–2436
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Remarks on the lifespan of the solutions to some models of incompressible fluid mechanicsProceedings of the American Mathematical Society 141 6 (2013) 1979-1993
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Incompressible flows with piecewise constant densityArchive for Rational Mechanics and Analysis 207 (2013) 991-1023
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DivergenceDiscrete and Continuous Dynamical Systems - Series S 6 5 (2013) 11 pages
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The Oberbeck-Boussinesq approximation in critical spacesAsymptotic Analysis 84 (2013) 61-102
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A Lagrangian Approach for the Incompressible Navier-Stokes Equations with Variable DensityCommunications on Pure and Applied Mathematics 65 (2012) 1458-1480
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On the well-posedness of the full low-Mach number limit system in general critical Besov spacesCommunications in Contemporary Mathematics 14 3 (2012) 47 pages
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The divergence equation in rough spacesJournal of Mathematical Analysis and applications 386 1 (2012) 10--31
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Madelung, Gross-Pitaevskii and KortewegNonlinearity 25 10 (2012) 2843-2873
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A survey on Fourier analysis methods for solving the compressible Navier-Stokes equationsScience China Mathematics 55 2 (2012) 245--275
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Fourier Analysis and Nonlinear Partial Differential EquationsSpringer Grundlehren der mathematischen Wissenschaften 343 (2011) 523 pages
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The well-posedness issue for the density-dependent in endpoint Besov spacesJournal de Mathématiques Pures et Appliquées 96 3 (2011) 253--278
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GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWOMathematical Models and Methods in Applied Sciences (2011) 421-457
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Global existence results for the anisotropic Boussinesq system in dimension twoMathematical Models and Methods in Applied Sciences 21 3 (2011) 421-457
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A Global Existence Result for the Compressible Navier-Stokes Equations in the Critical L(p) FrameworkArchive for Rational Mechanics and Analysis 198 1 (2010) 233--271
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ON THE LINEAR WAVE REGIME OF THE GROSS-PITAEVSKII EQUATIONJournal d'analyse mathématique 110 (2010) 297--338
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On the solvability of the compressible Navier-Stokes system in bounded domainsNonlinearity 23 2 (2010) 383--407
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On the well-posedness of the incompressible density-dependent Euler equations in the $L^p$ frameworkJournal of Differential Equations 248 8 (2010) 2130-2170
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Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich's Type DataCommunications in Mathematical Physics 290 1 (2009) 1--14
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Problème de Stokes et système de Navier-Stokes incompressible à densité variable dans le demi-espaceSéminaire Équations aux dérivées partielles. Ecole Polytechnique. Palaiseau 10 (2009) 19 pages
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Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type dataComm. Math. Phys. 290 1 (2009) 1-14
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A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-spaceJournal of Functional Analysis 256 3 (2009) 881--927
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Les équations d'Euler, des ondes et de Korteweg-de Vries comme limites asymptotiques de l'équation de Gross-PitaevskiiSéminaire Équations aux Dérivées Partielles. École Polytechnique, Palaiseau 1 (2008) 12 pages
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Existence and uniqueness results for the Boussinesq system with data in Lorentz spacesPhysica D: Nonlinear Phenomena 237 (2008) 1444--1460
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The Leray and Fujita-Kato theorems for the Boussinesq system with partial viscosityBulletin de la société mathématique de France 136 2 (2008) 261--309
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On the well-posedness for the Euler-Korteweg model in several space dimensionsIndiana University Mathematics Journal 56 4 (2007) 1499--1579
Laboratoire d'Analyse et de Mathématiques Appliquées
Université Paris-Est - Créteil Val-de-Marne
Université Paris-Est - Créteil Val-de-Marne
61 avenue du Général de Gaulle
Bâtiment P
94010 Créteil