## Danchin, Raphaël

Compute Distance To:
 Author ID: danchin.raphael Published as: Danchin, Raphaël; Danchin, R.; Danchin, Raphael Homepage: https://perso.math.u-pem.fr/danchin.raphael/ External Links: MGP · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr
 Documents Indexed: 92 Publications since 1996, including 1 Book 2 Contributions as Editor · 1 Further Contribution Reviewing Activity: 4 Reviews Co-Authors: 33 Co-Authors with 55 Joint Publications 695 Co-Co-Authors
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### Co-Authors

 36 single-authored 13 Mucha, Piotr Bogusław 8 Ducomet, Bernard 5 Benzoni-Gavage, Sylvie 5 Descombes, Stéphane 5 Paicu, Marius 3 Bahouri, Hajer 3 Chemin, Jean-Yves 3 Jamet, Didier 3 Xu, Jiang 2 Bethuel, Fabrice 2 Charve, Frédéric 2 Chikami, Noboru 2 Fanelli, Francesco 2 Farwig, Reinhard 2 He, Lingbing 2 Nečasová, Šárka 2 Neustupa, Jiří 2 Saut, Jean-Claude 2 Smets, Didier 1 Benameur, Jamel 1 Blanc, Xavier 1 Bresch, Didier 1 Carles, Rémi 1 Cohen, Albert 1 Crin-Barat, Timothée 1 Desjardins, Benoît 1 Gravejat, Philippe 1 Liao, Xian 1 Novotný, Antonín 1 Penel, Patrick 1 Perepelitsa, Misha 1 Peszek, Jan 1 Tan, Jin 1 Tolksdorf, Patrick 1 Wróblewski, Bartosz 1 Zhang, Ping
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### Serials

 6 Séminaire Équations aux Dérivées Partielles 5 Communications in Partial Differential Equations 4 Archive for Rational Mechanics and Analysis 3 Journal of Differential Equations 3 Journal of Mathematical Fluid Mechanics 3 Journal of Evolution Equations 2 Communications on Pure and Applied Mathematics 2 Nonlinearity 2 Annales de l’Institut Fourier 2 Bulletin de la Société Mathématique de France 2 Indiana University Mathematics Journal 2 Journal of Functional Analysis 2 Revista Matemática Iberoamericana 2 Asymptotic Analysis 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Hyperbolic Differential Equations 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Russian Mathematical Surveys 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Differential and Integral Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Interfaces and Free Boundaries 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Contemporary Mathematics 1 Grundlehren der Mathematischen Wissenschaften 1 Panoramas et Synthèses 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Confluentes Mathematici 1 Science China. Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Séminaire Laurent Schwartz. EDP et Applications 1 Journal of Elliptic and Parabolic Equations 1 Tunisian Journal of Mathematics 1 Pure and Applied Analysis 1 Annales Henri Lebesgue
all top 5

### Fields

 91 Partial differential equations (35-XX) 80 Fluid mechanics (76-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 3 General and overarching topics; collections (00-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Abstract harmonic analysis (43-XX) 1 Topological groups, Lie groups (22-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

80 Publications have been cited 3,512 times in 1,862 Documents Cited by Year
Fourier analysis and nonlinear partial differential equations. Zbl 1227.35004
Bahouri, Hajer; Chemin, Jean-Yves; Danchin, Raphaël
2011
A few remarks on the Camassa-Holm equation. Zbl 1161.35329
Danchin, Raphaël
2001
Global existence in critical spaces for compressible Navier-Stokes equations. Zbl 0958.35100
Danchin, R.
2000
A note on well-posedness for Camassa-Holm equation. Zbl 1048.35076
Danchin, Raphaël
2003
Local theory in critical spaces for compressible viscous and heat-conductive gases. Zbl 1007.35071
Danchin, Raphaël
2001
Density-dependent indecompressible viscous fluids in critical spaces. Zbl 1050.76013
Danchin, R.
2003
Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249
Danchin, Raphaël; Paicu, Marius
2011
Existence of solutions for compressible fluid models of Korteweg type. Zbl 1010.76075
Danchin, Raphaël; Desjardins, Benoît
2001
On the uniqueness in critical spaces for compressible Navier-Stokes equations. Zbl 1125.76061
Danchin, R.
2005
Global existence in critical spaces for flows of compressible viscous and heat-conductive gases. Zbl 1018.76037
Danchin, Raphaël
2001
Global well-posedness issues for the inviscid Boussinesq system with Yudovich’s type data. Zbl 1186.35157
Danchin, Raphaël; Paicu, Marius
2009
A Lagrangian approach for the incompressible Navier-Stokes equations with variable density. Zbl 1247.35088
Danchin, Raphaël; Mucha, Piotr Bogusław
2012
A global existence result for the compressible Navier–Stokes equations in the critical $$L ^{p }$$ framework. Zbl 1229.35167
Charve, Frédéric; Danchin, Raphaël
2010
Well-posedness in critical spaces for barotropic viscous fluids with truly not constant density. Zbl 1120.76052
Danchin, R.
2007
Local and global well-posedness results for flows of inhomogeneous viscous fluids. Zbl 1103.35085
Danchin, R.
2004
The Leray and Fujita-Kato theorems for the Boussinesq system with partial viscosity. (Les théorèmes de Leray et de Fujita-Kato pour le système de Boussinesqpartiellement visqueux.) Zbl 1162.35063
Danchin, Raphaël; Paicu, Marius
2008
On the well-posedness for the Euler-Korteweg model in several space dimensions. Zbl 1125.76060
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.
2007
Zero Mach number limit for compressible flows with periodic boundary conditions. Zbl 1048.35075
Danchin, R.
2002
Incompressible flows with piecewise constant density. Zbl 1260.35107
Danchin, Raphaël; Mucha, Piotr BogusŁaw
2013
Zero Mach number limit in critical spaces for compressible Navier-Stokes equations. Zbl 1048.35054
Danchin, Raphaël
2002
On the well-posedness of the incompressible density-dependent Euler equations in the $$L^p$$ framework. Zbl 1192.35137
Danchin, Raphaël
2010
Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces. Zbl 1143.76432
Danchin, Raphaël; Paicu, Marius
2008
Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients. Zbl 1098.35038
Danchin, Raphaël
2005
Density-dependent incompressible fluids in bounded domains. Zbl 1142.76354
Danchin, R.
2006
Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical $$L^{p}$$ framework. Zbl 1366.35126
Danchin, Raphaël; Xu, Jiang
2017
A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space. Zbl 1160.35004
Danchin, Raphaël; Mucha, Piotr Bogusław
2009
Viscous vortex patches. (Poches de tourbillon visqueuses.) Zbl 0903.76020
Danchin, Raphaël
1997
The inviscid limit for density-dependent incompressible fluids. Zbl 1221.35295
Danchin, Raphaël
2006
Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142
Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude
2012
A Lagrangian approach for the compressible Navier-Stokes equations. (Une approche lagrangienne pour le systéme de Navier-Stokes compressible.) Zbl 1311.35214
Danchin, Raphaël
2014
Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.; Jamet, D.
2005
Remarks on the lifespan of the solutions to some models of incompressible fluid mechanics. Zbl 1283.35080
Danchin, Raphaël
2013
The incompressible limit in $$L^p$$ type critical spaces. Zbl 1354.35096
Danchin, Raphaël; He, Lingbing
2016
The incompressible Navier-Stokes equations in vacuum. Zbl 1420.35182
Danchin, Raphaël; Mucha, Piotr Bogusław
2019
Axisymmetric incompressible flows with bounded vorticity. Zbl 1139.76011
Danchin, R.
2007
Uniform estimates for transport-diffusion equations. Zbl 1117.35012
Danchin, R.
2007
Compressible Navier-Stokes system: large solutions and incompressible limit. Zbl 1384.35058
Danchin, Raphaël; Mucha, Piotr Bogusław
2017
Well-posedness of one-dimensional Korteweg models. Zbl 1114.76058
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane
2006
Optimal bounds for the inviscid limit of Navier-Stokes equations. Zbl 1092.35075
Abidi, H.; Danchin, R.
2004
Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density. Zbl 1297.35167
Danchin, Raphaël; Zhang, Ping
2014
The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces. Zbl 1229.35195
Danchin, Raphaël; Fanelli, Francesco
2011
On the well-posedness of the full compressible Navier-Stokes system in critical Besov spaces. Zbl 1311.35185
Chikami, Noboru; Danchin, Raphaël
2015
Time evolution of a singular vortex patch. (Evolution temporelle d’une poche de tourbillon singulière.) Zbl 0882.35093
Danchin, Raphaël
1997
Global persistence of geometrical structures for the Boussinesq equation with no diffusion. Zbl 1430.35195
Danchin, Raphaël; Zhang, Xin
2017
A survey on Fourier analysis methods for solving the compressible Navier-Stokes equations. Zbl 1239.35001
Danchin, Raphaël
2012
On a simplified model for radiating flows. Zbl 1302.35313
Danchin, Raphaël; Ducomet, Bernard
2014
Regular solutions to the fractional Euler alignment system in the Besov spaces framework. Zbl 1411.35223
Danchin, Raphaël; Mucha, Piotr B.; Peszek, Jan; Wróblewski, Bartosz
2019
Critical functional framework and maximal regularity in action on systems of incompressible flows. Zbl 1335.35179
Danchin, Raphaël; Mucha, Piotr Bogusław
2015
On the well-posedness of the full low Mach number limit system in general critical Besov spaces. Zbl 1320.35276
Danchin, Raphaël; Liao, Xian
2012
On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equations. Zbl 1430.35186
Danchin, Raphaël; Zhang, Xin
2017
The low Mach number limit for a barotropic model of radiative flow. Zbl 1339.35236
Danchin, Raphaël; Ducomet, Bernard
2016
On the linear wave regime of the Gross-Pitaevskii equation. Zbl 1202.35296
Béthuel, Fabrice; Danchin, Raphaël; Smets, Didier
2010
Persistance de structures géométriques et limite non visqueuse pour les fluides incompressibles en dimension quelconque. (Persistence of geometric structures and inviscid limit for incompressible fluids in any dimension.). Zbl 0937.35124
Danchin, Raphaël
1999
Evolution of a cusp-type singularity in a vortex patch. (Évolution d’une singularité de type cusp dans une poche de tourbillon.) Zbl 1158.35404
Danchin, Raphaël
2000
Stability issues in the Euler-Korteweg model. Zbl 1119.76029
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane; Jamet, Didier
2007
On the solvability of the compressible Navier-Stokes system in bounded domains. Zbl 1184.35238
Danchin, Raphaël
2010
Fourier analysis methods for compressible flows. Zbl 1372.35214
Danchin, Raphaël
2016
Tempered distributions and Fourier transform on the Heisenberg group. (Distributions tempérées et transformation de Fourier sur le groupe de Heisenberg.) Zbl 1422.43006
Bahouri, Hajer; Chemin, Jean-Yves; Danchin, Raphaël
2018
On the global existence and time decay estimates in critical spaces for the Navier-Stokes-Poisson system. Zbl 1375.35367
Chikami, Noboru; Danchin, Raphaël
2017
On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces. Zbl 1462.35286
Danchin, Raphaël; Tan, Jin
2021
A frequency space for the Heisenberg group. (Un espace de fréquences pour le groupe de Heisenberg.) Zbl 1416.43005
Bahouri, Hajer; Chemin, Jean-Yves; Danchin, Raphaël
2019
Diffusive limits for a barotropic model of radiative flow. Zbl 1358.35111
Danchin, Raphaël; Ducomet, Bernard
2016
Divergence. Zbl 1262.35079
Danchin, Raphaël; Mucha, Piotr B.
2013
Nonviscous limits for axisymmetric incompressible fluids. (Limite non visqueuse pour les fluides incompressible axisymmétriques.) Zbl 1034.35104
Ben Ameur, J.; Danchin, R.
2002
Optimal decay estimates in the critical $$L^{p}$$ framework for flows of compressible viscous and heat-conductive gases. Zbl 1404.76224
Danchin, Raphaël; Xu, Jiang
2018
The divergence equation in rough spaces. Zbl 1227.35130
Danchin, Raphaël; Mucha, Piotr Bogusław
2012
The Oberbeck-Boussinesq approximation in critical spaces. Zbl 1294.35093
Danchin, Raphaël; He, Lingbing
2013
Multiscale approximation of vortex patches. Zbl 0962.76070
Cohen, Albert; Danchin, Raphael
2000
From compressible to incompressible inhomogeneous flows in the case of large data. Zbl 1407.76130
Danchin, Raphaël; Mucha, Piotr Bogusław
2019
A well-posedness result for viscous compressible fluids with only bounded density. Zbl 1434.35046
Danchin, Raphaël; Fanelli, Francesco; Paicu, Marius
2020
The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings. Zbl 1473.35396
Blanc, Xavier; Danchin, Raphaël; Ducomet, Bernard; Nečasová, Šárka
2021
The Euler equation, the wave equation and the Korteweg-de Vries equation as asymptotic limits of the Gross-Pitaevskii equation. (Les équations d’Euler, des ondes et de Korteweg-de Vries comme limites asymptotiques de l’équation de Gross-Pitaevskii.) Zbl 1208.35125
Béthuel, Fabrice; Danchin, Raphaël; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier
2010
Navier-Stokes equations with variable density. Zbl 1054.35049
Danchin, Raphaël
2003
Existence of strong solutions with critical regularity to a polytropic model for radiating flows. Zbl 1369.35055
Danchin, Raphaël; Ducomet, Bernard
2017
New maximal regularity results for the heat equation in exterior domains, and applications. Zbl 1275.35060
Danchin, Raphaël; Mucha, Piotr Bogusław
2013
Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity. Zbl 1481.76176
Charve, Frédéric; Danchin, Raphaël; Xu, Jiang
2021
Lorentz spaces in action on pressureless systems arising from models of collective behavior. Zbl 07451398
Danchin, Raphaël; Mucha, Piotr Bogusław; Tolksdorf, Patrick
2021
Slightly compressible fluids and incompressible limit. (Fluides légèrement compressibles et limite incompressible.) Zbl 1061.35511
Danchin, Raphaël
2001
Global existence results and asymptotic limits for a model of radiative fluid. Zbl 1355.35149
Danchin, Raphaël; Ducomet, Bernard
2016
On the global existence for the compressible Euler-Poisson system, and the instability of static solutions. Zbl 1481.35322
Danchin, R.; Ducomet, B.
2021
On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces. Zbl 1462.35286
Danchin, Raphaël; Tan, Jin
2021
The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings. Zbl 1473.35396
Blanc, Xavier; Danchin, Raphaël; Ducomet, Bernard; Nečasová, Šárka
2021
Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity. Zbl 1481.76176
Charve, Frédéric; Danchin, Raphaël; Xu, Jiang
2021
Lorentz spaces in action on pressureless systems arising from models of collective behavior. Zbl 07451398
Danchin, Raphaël; Mucha, Piotr Bogusław; Tolksdorf, Patrick
2021
On the global existence for the compressible Euler-Poisson system, and the instability of static solutions. Zbl 1481.35322
Danchin, R.; Ducomet, B.
2021
A well-posedness result for viscous compressible fluids with only bounded density. Zbl 1434.35046
Danchin, Raphaël; Fanelli, Francesco; Paicu, Marius
2020
The incompressible Navier-Stokes equations in vacuum. Zbl 1420.35182
Danchin, Raphaël; Mucha, Piotr Bogusław
2019
Regular solutions to the fractional Euler alignment system in the Besov spaces framework. Zbl 1411.35223
Danchin, Raphaël; Mucha, Piotr B.; Peszek, Jan; Wróblewski, Bartosz
2019
A frequency space for the Heisenberg group. (Un espace de fréquences pour le groupe de Heisenberg.) Zbl 1416.43005
Bahouri, Hajer; Chemin, Jean-Yves; Danchin, Raphaël
2019
From compressible to incompressible inhomogeneous flows in the case of large data. Zbl 1407.76130
Danchin, Raphaël; Mucha, Piotr Bogusław
2019
Tempered distributions and Fourier transform on the Heisenberg group. (Distributions tempérées et transformation de Fourier sur le groupe de Heisenberg.) Zbl 1422.43006
Bahouri, Hajer; Chemin, Jean-Yves; Danchin, Raphaël
2018
Optimal decay estimates in the critical $$L^{p}$$ framework for flows of compressible viscous and heat-conductive gases. Zbl 1404.76224
Danchin, Raphaël; Xu, Jiang
2018
Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical $$L^{p}$$ framework. Zbl 1366.35126
Danchin, Raphaël; Xu, Jiang
2017
Compressible Navier-Stokes system: large solutions and incompressible limit. Zbl 1384.35058
Danchin, Raphaël; Mucha, Piotr Bogusław
2017
Global persistence of geometrical structures for the Boussinesq equation with no diffusion. Zbl 1430.35195
Danchin, Raphaël; Zhang, Xin
2017
On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equations. Zbl 1430.35186
Danchin, Raphaël; Zhang, Xin
2017
On the global existence and time decay estimates in critical spaces for the Navier-Stokes-Poisson system. Zbl 1375.35367
Chikami, Noboru; Danchin, Raphaël
2017
Existence of strong solutions with critical regularity to a polytropic model for radiating flows. Zbl 1369.35055
Danchin, Raphaël; Ducomet, Bernard
2017
The incompressible limit in $$L^p$$ type critical spaces. Zbl 1354.35096
Danchin, Raphaël; He, Lingbing
2016
The low Mach number limit for a barotropic model of radiative flow. Zbl 1339.35236
Danchin, Raphaël; Ducomet, Bernard
2016
Fourier analysis methods for compressible flows. Zbl 1372.35214
Danchin, Raphaël
2016
Diffusive limits for a barotropic model of radiative flow. Zbl 1358.35111
Danchin, Raphaël; Ducomet, Bernard
2016
Global existence results and asymptotic limits for a model of radiative fluid. Zbl 1355.35149
Danchin, Raphaël; Ducomet, Bernard
2016
On the well-posedness of the full compressible Navier-Stokes system in critical Besov spaces. Zbl 1311.35185
Chikami, Noboru; Danchin, Raphaël
2015
Critical functional framework and maximal regularity in action on systems of incompressible flows. Zbl 1335.35179
Danchin, Raphaël; Mucha, Piotr Bogusław
2015
A Lagrangian approach for the compressible Navier-Stokes equations. (Une approche lagrangienne pour le systéme de Navier-Stokes compressible.) Zbl 1311.35214
Danchin, Raphaël
2014
Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density. Zbl 1297.35167
Danchin, Raphaël; Zhang, Ping
2014
On a simplified model for radiating flows. Zbl 1302.35313
Danchin, Raphaël; Ducomet, Bernard
2014
Incompressible flows with piecewise constant density. Zbl 1260.35107
Danchin, Raphaël; Mucha, Piotr BogusŁaw
2013
Remarks on the lifespan of the solutions to some models of incompressible fluid mechanics. Zbl 1283.35080
Danchin, Raphaël
2013
Divergence. Zbl 1262.35079
Danchin, Raphaël; Mucha, Piotr B.
2013
The Oberbeck-Boussinesq approximation in critical spaces. Zbl 1294.35093
Danchin, Raphaël; He, Lingbing
2013
New maximal regularity results for the heat equation in exterior domains, and applications. Zbl 1275.35060
Danchin, Raphaël; Mucha, Piotr Bogusław
2013
A Lagrangian approach for the incompressible Navier-Stokes equations with variable density. Zbl 1247.35088
Danchin, Raphaël; Mucha, Piotr Bogusław
2012
Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142
Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude
2012
A survey on Fourier analysis methods for solving the compressible Navier-Stokes equations. Zbl 1239.35001
Danchin, Raphaël
2012
On the well-posedness of the full low Mach number limit system in general critical Besov spaces. Zbl 1320.35276
Danchin, Raphaël; Liao, Xian
2012
The divergence equation in rough spaces. Zbl 1227.35130
Danchin, Raphaël; Mucha, Piotr Bogusław
2012
Fourier analysis and nonlinear partial differential equations. Zbl 1227.35004
Bahouri, Hajer; Chemin, Jean-Yves; Danchin, Raphaël
2011
Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249
Danchin, Raphaël; Paicu, Marius
2011
The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces. Zbl 1229.35195
Danchin, Raphaël; Fanelli, Francesco
2011
A global existence result for the compressible Navier–Stokes equations in the critical $$L ^{p }$$ framework. Zbl 1229.35167
Charve, Frédéric; Danchin, Raphaël
2010
On the well-posedness of the incompressible density-dependent Euler equations in the $$L^p$$ framework. Zbl 1192.35137
Danchin, Raphaël
2010
On the linear wave regime of the Gross-Pitaevskii equation. Zbl 1202.35296
Béthuel, Fabrice; Danchin, Raphaël; Smets, Didier
2010
On the solvability of the compressible Navier-Stokes system in bounded domains. Zbl 1184.35238
Danchin, Raphaël
2010
The Euler equation, the wave equation and the Korteweg-de Vries equation as asymptotic limits of the Gross-Pitaevskii equation. (Les équations d’Euler, des ondes et de Korteweg-de Vries comme limites asymptotiques de l’équation de Gross-Pitaevskii.) Zbl 1208.35125
Béthuel, Fabrice; Danchin, Raphaël; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier
2010
Global well-posedness issues for the inviscid Boussinesq system with Yudovich’s type data. Zbl 1186.35157
Danchin, Raphaël; Paicu, Marius
2009
A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space. Zbl 1160.35004
Danchin, Raphaël; Mucha, Piotr Bogusław
2009
The Leray and Fujita-Kato theorems for the Boussinesq system with partial viscosity. (Les théorèmes de Leray et de Fujita-Kato pour le système de Boussinesqpartiellement visqueux.) Zbl 1162.35063
Danchin, Raphaël; Paicu, Marius
2008
Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces. Zbl 1143.76432
Danchin, Raphaël; Paicu, Marius
2008
Well-posedness in critical spaces for barotropic viscous fluids with truly not constant density. Zbl 1120.76052
Danchin, R.
2007
On the well-posedness for the Euler-Korteweg model in several space dimensions. Zbl 1125.76060
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.
2007
Axisymmetric incompressible flows with bounded vorticity. Zbl 1139.76011
Danchin, R.
2007
Uniform estimates for transport-diffusion equations. Zbl 1117.35012
Danchin, R.
2007
Stability issues in the Euler-Korteweg model. Zbl 1119.76029
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane; Jamet, Didier
2007
Density-dependent incompressible fluids in bounded domains. Zbl 1142.76354
Danchin, R.
2006
The inviscid limit for density-dependent incompressible fluids. Zbl 1221.35295
Danchin, Raphaël
2006
Well-posedness of one-dimensional Korteweg models. Zbl 1114.76058
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane
2006
On the uniqueness in critical spaces for compressible Navier-Stokes equations. Zbl 1125.76061
Danchin, R.
2005
Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients. Zbl 1098.35038
Danchin, Raphaël
2005
Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.; Jamet, D.
2005
Local and global well-posedness results for flows of inhomogeneous viscous fluids. Zbl 1103.35085
Danchin, R.
2004
Optimal bounds for the inviscid limit of Navier-Stokes equations. Zbl 1092.35075
Abidi, H.; Danchin, R.
2004
A note on well-posedness for Camassa-Holm equation. Zbl 1048.35076
Danchin, Raphaël
2003
Density-dependent indecompressible viscous fluids in critical spaces. Zbl 1050.76013
Danchin, R.
2003
Navier-Stokes equations with variable density. Zbl 1054.35049
Danchin, Raphaël
2003
Zero Mach number limit for compressible flows with periodic boundary conditions. Zbl 1048.35075
Danchin, R.
2002
Zero Mach number limit in critical spaces for compressible Navier-Stokes equations. Zbl 1048.35054
Danchin, Raphaël
2002
Nonviscous limits for axisymmetric incompressible fluids. (Limite non visqueuse pour les fluides incompressible axisymmétriques.) Zbl 1034.35104
Ben Ameur, J.; Danchin, R.
2002
A few remarks on the Camassa-Holm equation. Zbl 1161.35329
Danchin, Raphaël
2001
Local theory in critical spaces for compressible viscous and heat-conductive gases. Zbl 1007.35071
Danchin, Raphaël
2001
Existence of solutions for compressible fluid models of Korteweg type. Zbl 1010.76075
Danchin, Raphaël; Desjardins, Benoît
2001
Global existence in critical spaces for flows of compressible viscous and heat-conductive gases. Zbl 1018.76037
Danchin, Raphaël
2001
Slightly compressible fluids and incompressible limit. (Fluides légèrement compressibles et limite incompressible.) Zbl 1061.35511
Danchin, Raphaël
2001
Global existence in critical spaces for compressible Navier-Stokes equations. Zbl 0958.35100
Danchin, R.
2000
Evolution of a cusp-type singularity in a vortex patch. (Évolution d’une singularité de type cusp dans une poche de tourbillon.) Zbl 1158.35404
Danchin, Raphaël
2000
Multiscale approximation of vortex patches. Zbl 0962.76070
Cohen, Albert; Danchin, Raphael
2000
Persistance de structures géométriques et limite non visqueuse pour les fluides incompressibles en dimension quelconque. (Persistence of geometric structures and inviscid limit for incompressible fluids in any dimension.). Zbl 0937.35124
Danchin, Raphaël
1999
Viscous vortex patches. (Poches de tourbillon visqueuses.) Zbl 0903.76020
Danchin, Raphaël
1997
Time evolution of a singular vortex patch. (Evolution temporelle d’une poche de tourbillon singulière.) Zbl 0882.35093
Danchin, Raphaël
1997
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### Cited by 1,433 Authors

 74 Yin, Zhaoyang 45 Danchin, Raphaël 34 Zhai, Xiaoping 33 Zhang, Ping 30 Wu, Jiahong 29 Li, Yongsheng 27 Zhang, Zhifei 24 Zhang, Ting 22 Xu, Jiang 21 Fanelli, Francesco 20 Fang, Daoyuan 20 Tan, Zhong 20 Yan, Wei 19 Abidi, Hammadi 19 Fan, Jishan 19 Gui, Guilong 19 Haspot, Boris 19 Paicu, Marius 18 Jiu, Quansen 18 Li, Jinlu 18 Mucha, Piotr Bogusław 18 Yao, Zhengan 17 Liu, Yue 17 Xu, Fuyi 16 Hmidi, Taoufik 16 Xu, Xiaojing 15 Guo, Boling 15 Mi, Yongsheng 15 Wan, Renhui 14 Miao, Changxing 14 Ogawa, Takayoshi 14 Ye, Zhuan 14 Yu, Yanghai 14 Zhao, Jihong 14 Zheng, Xiaoxin 14 Zhou, Yong 13 Chen, Qionglei 13 Gubinelli, Massimiliano 13 Li, Yeping 13 Mu, Chunlai 13 Zhou, Shouming 12 Dai, Mimi 12 Fu, Ying 12 Qiao, Zhijun 12 Xue, Liutang 11 Bahouri, Hajer 11 Bian, Dongfen 11 Bresch, Didier 11 Chen, Zhimin 11 Kawashima, Shuichi 11 Scrobogna, Stefano 11 Titi, Edriss Saleh 11 Wang, Dehua 11 Wu, Xing 11 Xin, Zhouping 11 Zhu, Weipeng 10 Li, Fucai 10 Liu, Qiao 10 Rousset, Frédéric 10 Shang, Haifeng 10 Wu, Xinglong 10 Yan, Kai 10 Yang, Minghua 9 Bae, Hantaek 9 Cao, Chongsheng 9 Charve, Frédéric 9 Chen, Zhengzheng 9 Gallagher, Isabelle 9 Gao, Hongjun 9 Lai, Shaoyong 9 Liu, Zhengrong 9 Ou, Yaobin 9 Sun, Jinyi 9 Tian, Lixin 9 Wu, Yonghong 9 Yuan, Jia 9 Zhang, Zujin 9 Zi, Ruizhao 8 Antonelli, Paolo 8 Chae, Dongho 8 Dong, Boqing 8 Ducomet, Bernard 8 Feireisl, Eduard 8 Germain, Pierre 8 Himonas, A. Alexandrou 8 Hu, Xianpeng 8 Huang, Jingchi 8 Li, Jinkai 8 Luo, Wei 8 Masmoudi, Nader 8 Qu, Changzheng 8 Shibata, Yoshihiro 8 Suen, Anthony 8 Tang, Hao 8 Tang, Tong 8 Wu, Guochun 8 Yang, Shaojie 8 Yuan, Baoquan 8 Zhang, Qian 8 Zhang, Yinghui ...and 1,333 more Authors
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### Cited in 206 Serials

 197 Journal of Differential Equations 90 Journal of Mathematical Analysis and Applications 80 Archive for Rational Mechanics and Analysis 78 Journal of Mathematical Fluid Mechanics 75 Discrete and Continuous Dynamical Systems 71 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 55 Nonlinear Analysis. Real World Applications 54 Journal of Mathematical Physics 52 ZAMP. Zeitschrift für angewandte Mathematik und Physik 47 Communications in Mathematical Physics 45 SIAM Journal on Mathematical Analysis 44 Journal of Functional Analysis 43 Applicable Analysis 34 Mathematical Methods in the Applied Sciences 27 Journal de Mathématiques Pures et Appliquées. Neuvième Série 27 Journal of Evolution Equations 26 Boundary Value Problems 23 Acta Applicandae Mathematicae 23 Communications in Partial Differential Equations 22 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 21 Applied Mathematics Letters 20 Nonlinearity 18 Mathematische Annalen 18 Monatshefte für Mathematik 18 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 17 Discrete and Continuous Dynamical Systems. Series B 15 Physica D 15 Communications on Pure and Applied Analysis 14 Acta Mathematica Sinica. English Series 14 Science China. Mathematics 13 Transactions of the American Mathematical Society 13 Journal of Hyperbolic Differential Equations 13 Annals of PDE 12 Communications on Pure and Applied Mathematics 12 Revista Matemática Iberoamericana 12 Journal of Nonlinear Science 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Advances in Mathematics 11 Calculus of Variations and Partial Differential Equations 10 Proceedings of the American Mathematical Society 10 Journal of Dynamics and Differential Equations 10 Analysis and Applications (Singapore) 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Kinetic and Related Models 8 Computers & Mathematics with Applications 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 NoDEA. Nonlinear Differential Equations and Applications 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Journal of Computational Physics 7 The Annals of Probability 7 Applied Mathematics and Computation 7 Mathematische Nachrichten 7 Quarterly of Applied Mathematics 7 Zeitschrift für Analysis und ihre Anwendungen 7 Chinese Annals of Mathematics. Series B 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Journal of Inequalities and Applications 7 Communications in Contemporary Mathematics 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Asymptotic Analysis 6 Abstract and Applied Analysis 6 Analysis & PDE 5 Indiana University Mathematics Journal 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Electronic Journal of Probability 5 The Journal of Fourier Analysis and Applications 5 Discrete and Continuous Dynamical Systems. Series S 5 Stochastic and Partial Differential Equations. Analysis and Computations 5 Séminaire Laurent Schwartz. EDP et Applications 5 Journal of Elliptic and Parabolic Equations 4 Journal d’Analyse Mathématique 4 Annales de l’Institut Fourier 4 Mathematische Zeitschrift 4 Pacific Journal of Mathematics 4 Acta Mathematicae Applicatae Sinica. English Series 4 Mathematical Physics, Analysis and Geometry 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Advances in Mathematical Physics 3 Journal of Statistical Physics 3 Rocky Mountain Journal of Mathematics 3 Applied Mathematics and Optimization 3 Bulletin de la Société Mathématique de France 3 Inventiones Mathematicae 3 Manuscripta Mathematica 3 Memoirs of the American Mathematical Society 3 Journal of the American Mathematical Society 3 Journal of Scientific Computing 3 Bulletin of the American Mathematical Society. New Series 3 Annales Mathématiques Blaise Pascal 3 Annals of Mathematics. Second Series 3 Journal of Nonlinear Mathematical Physics 3 Stochastics and Dynamics 3 Journal of the Institute of Mathematics of Jussieu 3 Frontiers of Mathematics in China 3 Confluentes Mathematici 3 Journal of Function Spaces 3 Journal de l’École Polytechnique – Mathématiques 3 Annales Henri Lebesgue 2 Letters in Mathematical Physics 2 Mathematics of Computation ...and 106 more Serials
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### Cited in 39 Fields

 1,718 Partial differential equations (35-XX) 1,176 Fluid mechanics (76-XX) 135 Harmonic analysis on Euclidean spaces (42-XX) 83 Probability theory and stochastic processes (60-XX) 65 Dynamical systems and ergodic theory (37-XX) 57 Geophysics (86-XX) 53 Statistical mechanics, structure of matter (82-XX) 48 Functional analysis (46-XX) 43 Biology and other natural sciences (92-XX) 36 Classical thermodynamics, heat transfer (80-XX) 35 Numerical analysis (65-XX) 35 Quantum theory (81-XX) 29 Real functions (26-XX) 23 Functions of a complex variable (30-XX) 22 Operator theory (47-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 22 Optics, electromagnetic theory (78-XX) 19 Ordinary differential equations (34-XX) 19 Systems theory; control (93-XX) 17 Mechanics of deformable solids (74-XX) 8 Differential geometry (53-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Mechanics of particles and systems (70-XX) 6 Astronomy and astrophysics (85-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 4 Integral equations (45-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 General topology (54-XX) 3 Relativity and gravitational theory (83-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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