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Author ID: danchin.raphael Recent zbMATH articles by "Danchin, Raphaël"
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
all top 5

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

Publications by Year

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
868
2011
A few remarks on the Camassa-Holm equation. Zbl 1161.35329
Danchin, Raphaël
252
2001
Global existence in critical spaces for compressible Navier-Stokes equations. Zbl 0958.35100
Danchin, R.
210
2000
A note on well-posedness for Camassa-Holm equation. Zbl 1048.35076
Danchin, Raphaël
141
2003
Local theory in critical spaces for compressible viscous and heat-conductive gases. Zbl 1007.35071
Danchin, Raphaël
127
2001
Density-dependent indecompressible viscous fluids in critical spaces. Zbl 1050.76013
Danchin, R.
115
2003
Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249
Danchin, Raphaël; Paicu, Marius
106
2011
Existence of solutions for compressible fluid models of Korteweg type. Zbl 1010.76075
Danchin, Raphaël; Desjardins, Benoît
91
2001
On the uniqueness in critical spaces for compressible Navier-Stokes equations. Zbl 1125.76061
Danchin, R.
90
2005
Global existence in critical spaces for flows of compressible viscous and heat-conductive gases. Zbl 1018.76037
Danchin, Raphaël
83
2001
Global well-posedness issues for the inviscid Boussinesq system with Yudovich’s type data. Zbl 1186.35157
Danchin, Raphaël; Paicu, Marius
82
2009
A Lagrangian approach for the incompressible Navier-Stokes equations with variable density. Zbl 1247.35088
Danchin, Raphaël; Mucha, Piotr Bogusław
79
2012
A global existence result for the compressible Navier–Stokes equations in the critical \(L ^{p }\) framework. Zbl 1229.35167
Charve, Frédéric; Danchin, Raphaël
70
2010
Well-posedness in critical spaces for barotropic viscous fluids with truly not constant density. Zbl 1120.76052
Danchin, R.
67
2007
Local and global well-posedness results for flows of inhomogeneous viscous fluids. Zbl 1103.35085
Danchin, R.
63
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
60
2008
On the well-posedness for the Euler-Korteweg model in several space dimensions. Zbl 1125.76060
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.
51
2007
Zero Mach number limit for compressible flows with periodic boundary conditions. Zbl 1048.35075
Danchin, R.
50
2002
Incompressible flows with piecewise constant density. Zbl 1260.35107
Danchin, Raphaël; Mucha, Piotr BogusŁaw
45
2013
Zero Mach number limit in critical spaces for compressible Navier-Stokes equations. Zbl 1048.35054
Danchin, Raphaël
45
2002
On the well-posedness of the incompressible density-dependent Euler equations in the \(L^p\) framework. Zbl 1192.35137
Danchin, Raphaël
44
2010
Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces. Zbl 1143.76432
Danchin, Raphaël; Paicu, Marius
40
2008
Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients. Zbl 1098.35038
Danchin, Raphaël
40
2005
Density-dependent incompressible fluids in bounded domains. Zbl 1142.76354
Danchin, R.
39
2006
Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical \(L^{p}\) framework. Zbl 1366.35126
Danchin, Raphaël; Xu, Jiang
34
2017
A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space. Zbl 1160.35004
Danchin, Raphaël; Mucha, Piotr Bogusław
31
2009
Viscous vortex patches. (Poches de tourbillon visqueuses.) Zbl 0903.76020
Danchin, Raphaël
31
1997
The inviscid limit for density-dependent incompressible fluids. Zbl 1221.35295
Danchin, Raphaël
30
2006
Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142
Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude
30
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
30
2014
Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.; Jamet, D.
27
2005
Remarks on the lifespan of the solutions to some models of incompressible fluid mechanics. Zbl 1283.35080
Danchin, Raphaël
25
2013
The incompressible limit in \(L^p\) type critical spaces. Zbl 1354.35096
Danchin, Raphaël; He, Lingbing
24
2016
The incompressible Navier-Stokes equations in vacuum. Zbl 1420.35182
Danchin, Raphaël; Mucha, Piotr Bogusław
23
2019
Axisymmetric incompressible flows with bounded vorticity. Zbl 1139.76011
Danchin, R.
23
2007
Uniform estimates for transport-diffusion equations. Zbl 1117.35012
Danchin, R.
22
2007
Compressible Navier-Stokes system: large solutions and incompressible limit. Zbl 1384.35058
Danchin, Raphaël; Mucha, Piotr Bogusław
21
2017
Well-posedness of one-dimensional Korteweg models. Zbl 1114.76058
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane
20
2006
Optimal bounds for the inviscid limit of Navier-Stokes equations. Zbl 1092.35075
Abidi, H.; Danchin, R.
20
2004
Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density. Zbl 1297.35167
Danchin, Raphaël; Zhang, Ping
20
2014
The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces. Zbl 1229.35195
Danchin, Raphaël; Fanelli, Francesco
19
2011
On the well-posedness of the full compressible Navier-Stokes system in critical Besov spaces. Zbl 1311.35185
Chikami, Noboru; Danchin, Raphaël
16
2015
Time evolution of a singular vortex patch. (Evolution temporelle d’une poche de tourbillon singulière.) Zbl 0882.35093
Danchin, Raphaël
14
1997
Global persistence of geometrical structures for the Boussinesq equation with no diffusion. Zbl 1430.35195
Danchin, Raphaël; Zhang, Xin
11
2017
A survey on Fourier analysis methods for solving the compressible Navier-Stokes equations. Zbl 1239.35001
Danchin, Raphaël
11
2012
On a simplified model for radiating flows. Zbl 1302.35313
Danchin, Raphaël; Ducomet, Bernard
11
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
11
2019
Critical functional framework and maximal regularity in action on systems of incompressible flows. Zbl 1335.35179
Danchin, Raphaël; Mucha, Piotr Bogusław
11
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
9
2012
On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equations. Zbl 1430.35186
Danchin, Raphaël; Zhang, Xin
9
2017
The low Mach number limit for a barotropic model of radiative flow. Zbl 1339.35236
Danchin, Raphaël; Ducomet, Bernard
9
2016
On the linear wave regime of the Gross-Pitaevskii equation. Zbl 1202.35296
Béthuel, Fabrice; Danchin, Raphaël; Smets, Didier
7
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
7
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
7
2000
Stability issues in the Euler-Korteweg model. Zbl 1119.76029
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane; Jamet, Didier
6
2007
On the solvability of the compressible Navier-Stokes system in bounded domains. Zbl 1184.35238
Danchin, Raphaël
6
2010
Fourier analysis methods for compressible flows. Zbl 1372.35214
Danchin, Raphaël
6
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
6
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
6
2017
On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces. Zbl 1462.35286
Danchin, Raphaël; Tan, Jin
6
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
5
2019
Diffusive limits for a barotropic model of radiative flow. Zbl 1358.35111
Danchin, Raphaël; Ducomet, Bernard
4
2016
Divergence. Zbl 1262.35079
Danchin, Raphaël; Mucha, Piotr B.
4
2013
Nonviscous limits for axisymmetric incompressible fluids. (Limite non visqueuse pour les fluides incompressible axisymmétriques.) Zbl 1034.35104
Ben Ameur, J.; Danchin, R.
4
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
4
2018
The divergence equation in rough spaces. Zbl 1227.35130
Danchin, Raphaël; Mucha, Piotr Bogusław
4
2012
The Oberbeck-Boussinesq approximation in critical spaces. Zbl 1294.35093
Danchin, Raphaël; He, Lingbing
3
2013
Multiscale approximation of vortex patches. Zbl 0962.76070
Cohen, Albert; Danchin, Raphael
3
2000
From compressible to incompressible inhomogeneous flows in the case of large data. Zbl 1407.76130
Danchin, Raphaël; Mucha, Piotr Bogusław
3
2019
A well-posedness result for viscous compressible fluids with only bounded density. Zbl 1434.35046
Danchin, Raphaël; Fanelli, Francesco; Paicu, Marius
3
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
3
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
2
2010
Navier-Stokes equations with variable density. Zbl 1054.35049
Danchin, Raphaël
2
2003
Existence of strong solutions with critical regularity to a polytropic model for radiating flows. Zbl 1369.35055
Danchin, Raphaël; Ducomet, Bernard
2
2017
New maximal regularity results for the heat equation in exterior domains, and applications. Zbl 1275.35060
Danchin, Raphaël; Mucha, Piotr Bogusław
2
2013
Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity. Zbl 1481.76176
Charve, Frédéric; Danchin, Raphaël; Xu, Jiang
2
2021
Lorentz spaces in action on pressureless systems arising from models of collective behavior. Zbl 07451398
Danchin, Raphaël; Mucha, Piotr Bogusław; Tolksdorf, Patrick
2
2021
Slightly compressible fluids and incompressible limit. (Fluides légèrement compressibles et limite incompressible.) Zbl 1061.35511
Danchin, Raphaël
1
2001
Global existence results and asymptotic limits for a model of radiative fluid. Zbl 1355.35149
Danchin, Raphaël; Ducomet, Bernard
1
2016
On the global existence for the compressible Euler-Poisson system, and the instability of static solutions. Zbl 1481.35322
Danchin, R.; Ducomet, B.
1
2021
On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces. Zbl 1462.35286
Danchin, Raphaël; Tan, Jin
6
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
3
2021
Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity. Zbl 1481.76176
Charve, Frédéric; Danchin, Raphaël; Xu, Jiang
2
2021
Lorentz spaces in action on pressureless systems arising from models of collective behavior. Zbl 07451398
Danchin, Raphaël; Mucha, Piotr Bogusław; Tolksdorf, Patrick
2
2021
On the global existence for the compressible Euler-Poisson system, and the instability of static solutions. Zbl 1481.35322
Danchin, R.; Ducomet, B.
1
2021
A well-posedness result for viscous compressible fluids with only bounded density. Zbl 1434.35046
Danchin, Raphaël; Fanelli, Francesco; Paicu, Marius
3
2020
The incompressible Navier-Stokes equations in vacuum. Zbl 1420.35182
Danchin, Raphaël; Mucha, Piotr Bogusław
23
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
11
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
5
2019
From compressible to incompressible inhomogeneous flows in the case of large data. Zbl 1407.76130
Danchin, Raphaël; Mucha, Piotr Bogusław
3
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
6
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
4
2018
Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical \(L^{p}\) framework. Zbl 1366.35126
Danchin, Raphaël; Xu, Jiang
34
2017
Compressible Navier-Stokes system: large solutions and incompressible limit. Zbl 1384.35058
Danchin, Raphaël; Mucha, Piotr Bogusław
21
2017
Global persistence of geometrical structures for the Boussinesq equation with no diffusion. Zbl 1430.35195
Danchin, Raphaël; Zhang, Xin
11
2017
On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equations. Zbl 1430.35186
Danchin, Raphaël; Zhang, Xin
9
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
6
2017
Existence of strong solutions with critical regularity to a polytropic model for radiating flows. Zbl 1369.35055
Danchin, Raphaël; Ducomet, Bernard
2
2017
The incompressible limit in \(L^p\) type critical spaces. Zbl 1354.35096
Danchin, Raphaël; He, Lingbing
24
2016
The low Mach number limit for a barotropic model of radiative flow. Zbl 1339.35236
Danchin, Raphaël; Ducomet, Bernard
9
2016
Fourier analysis methods for compressible flows. Zbl 1372.35214
Danchin, Raphaël
6
2016
Diffusive limits for a barotropic model of radiative flow. Zbl 1358.35111
Danchin, Raphaël; Ducomet, Bernard
4
2016
Global existence results and asymptotic limits for a model of radiative fluid. Zbl 1355.35149
Danchin, Raphaël; Ducomet, Bernard
1
2016
On the well-posedness of the full compressible Navier-Stokes system in critical Besov spaces. Zbl 1311.35185
Chikami, Noboru; Danchin, Raphaël
16
2015
Critical functional framework and maximal regularity in action on systems of incompressible flows. Zbl 1335.35179
Danchin, Raphaël; Mucha, Piotr Bogusław
11
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
30
2014
Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density. Zbl 1297.35167
Danchin, Raphaël; Zhang, Ping
20
2014
On a simplified model for radiating flows. Zbl 1302.35313
Danchin, Raphaël; Ducomet, Bernard
11
2014
Incompressible flows with piecewise constant density. Zbl 1260.35107
Danchin, Raphaël; Mucha, Piotr BogusŁaw
45
2013
Remarks on the lifespan of the solutions to some models of incompressible fluid mechanics. Zbl 1283.35080
Danchin, Raphaël
25
2013
Divergence. Zbl 1262.35079
Danchin, Raphaël; Mucha, Piotr B.
4
2013
The Oberbeck-Boussinesq approximation in critical spaces. Zbl 1294.35093
Danchin, Raphaël; He, Lingbing
3
2013
New maximal regularity results for the heat equation in exterior domains, and applications. Zbl 1275.35060
Danchin, Raphaël; Mucha, Piotr Bogusław
2
2013
A Lagrangian approach for the incompressible Navier-Stokes equations with variable density. Zbl 1247.35088
Danchin, Raphaël; Mucha, Piotr Bogusław
79
2012
Madelung, Gross-Pitaevskii and Korteweg. Zbl 1251.35142
Carles, Rémi; Danchin, Raphaël; Saut, Jean-Claude
30
2012
A survey on Fourier analysis methods for solving the compressible Navier-Stokes equations. Zbl 1239.35001
Danchin, Raphaël
11
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
9
2012
The divergence equation in rough spaces. Zbl 1227.35130
Danchin, Raphaël; Mucha, Piotr Bogusław
4
2012
Fourier analysis and nonlinear partial differential equations. Zbl 1227.35004
Bahouri, Hajer; Chemin, Jean-Yves; Danchin, Raphaël
868
2011
Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249
Danchin, Raphaël; Paicu, Marius
106
2011
The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces. Zbl 1229.35195
Danchin, Raphaël; Fanelli, Francesco
19
2011
A global existence result for the compressible Navier–Stokes equations in the critical \(L ^{p }\) framework. Zbl 1229.35167
Charve, Frédéric; Danchin, Raphaël
70
2010
On the well-posedness of the incompressible density-dependent Euler equations in the \(L^p\) framework. Zbl 1192.35137
Danchin, Raphaël
44
2010
On the linear wave regime of the Gross-Pitaevskii equation. Zbl 1202.35296
Béthuel, Fabrice; Danchin, Raphaël; Smets, Didier
7
2010
On the solvability of the compressible Navier-Stokes system in bounded domains. Zbl 1184.35238
Danchin, Raphaël
6
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
2
2010
Global well-posedness issues for the inviscid Boussinesq system with Yudovich’s type data. Zbl 1186.35157
Danchin, Raphaël; Paicu, Marius
82
2009
A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space. Zbl 1160.35004
Danchin, Raphaël; Mucha, Piotr Bogusław
31
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
60
2008
Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces. Zbl 1143.76432
Danchin, Raphaël; Paicu, Marius
40
2008
Well-posedness in critical spaces for barotropic viscous fluids with truly not constant density. Zbl 1120.76052
Danchin, R.
67
2007
On the well-posedness for the Euler-Korteweg model in several space dimensions. Zbl 1125.76060
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.
51
2007
Axisymmetric incompressible flows with bounded vorticity. Zbl 1139.76011
Danchin, R.
23
2007
Uniform estimates for transport-diffusion equations. Zbl 1117.35012
Danchin, R.
22
2007
Stability issues in the Euler-Korteweg model. Zbl 1119.76029
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane; Jamet, Didier
6
2007
Density-dependent incompressible fluids in bounded domains. Zbl 1142.76354
Danchin, R.
39
2006
The inviscid limit for density-dependent incompressible fluids. Zbl 1221.35295
Danchin, Raphaël
30
2006
Well-posedness of one-dimensional Korteweg models. Zbl 1114.76058
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane
20
2006
On the uniqueness in critical spaces for compressible Navier-Stokes equations. Zbl 1125.76061
Danchin, R.
90
2005
Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients. Zbl 1098.35038
Danchin, Raphaël
40
2005
Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.; Jamet, D.
27
2005
Local and global well-posedness results for flows of inhomogeneous viscous fluids. Zbl 1103.35085
Danchin, R.
63
2004
Optimal bounds for the inviscid limit of Navier-Stokes equations. Zbl 1092.35075
Abidi, H.; Danchin, R.
20
2004
A note on well-posedness for Camassa-Holm equation. Zbl 1048.35076
Danchin, Raphaël
141
2003
Density-dependent indecompressible viscous fluids in critical spaces. Zbl 1050.76013
Danchin, R.
115
2003
Navier-Stokes equations with variable density. Zbl 1054.35049
Danchin, Raphaël
2
2003
Zero Mach number limit for compressible flows with periodic boundary conditions. Zbl 1048.35075
Danchin, R.
50
2002
Zero Mach number limit in critical spaces for compressible Navier-Stokes equations. Zbl 1048.35054
Danchin, Raphaël
45
2002
Nonviscous limits for axisymmetric incompressible fluids. (Limite non visqueuse pour les fluides incompressible axisymmétriques.) Zbl 1034.35104
Ben Ameur, J.; Danchin, R.
4
2002
A few remarks on the Camassa-Holm equation. Zbl 1161.35329
Danchin, Raphaël
252
2001
Local theory in critical spaces for compressible viscous and heat-conductive gases. Zbl 1007.35071
Danchin, Raphaël
127
2001
Existence of solutions for compressible fluid models of Korteweg type. Zbl 1010.76075
Danchin, Raphaël; Desjardins, Benoît
91
2001
Global existence in critical spaces for flows of compressible viscous and heat-conductive gases. Zbl 1018.76037
Danchin, Raphaël
83
2001
Slightly compressible fluids and incompressible limit. (Fluides légèrement compressibles et limite incompressible.) Zbl 1061.35511
Danchin, Raphaël
1
2001
Global existence in critical spaces for compressible Navier-Stokes equations. Zbl 0958.35100
Danchin, R.
210
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
7
2000
Multiscale approximation of vortex patches. Zbl 0962.76070
Cohen, Albert; Danchin, Raphael
3
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
7
1999
Viscous vortex patches. (Poches de tourbillon visqueuses.) Zbl 0903.76020
Danchin, Raphaël
31
1997
Time evolution of a singular vortex patch. (Evolution temporelle d’une poche de tourbillon singulière.) Zbl 0882.35093
Danchin, Raphaël
14
1997
all top 5

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
all top 5

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
all top 5

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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