×
Compute Distance To:
Author ID: amrouche.cherif Recent zbMATH articles by "Amrouche, Chérif"
Published as: Amrouche, Chérif; Amrouche, C.; Amrouche, Cherif
all top 5

Serials

16 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Journal of Differential Equations
6 Applied Mathematics Letters
5 Mathematical Methods in the Applied Sciences
4 Journal of Mathematical Analysis and Applications
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Discrete and Continuous Dynamical Systems. Series S
4 Monografías Matemáticas “García de Galdeano”
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 SIAM Journal on Mathematical Analysis
3 Comptes Rendus de l’Académie des Sciences. Série I
3 Differential Equations and Applications
2 Archive for Rational Mechanics and Analysis
2 Calculus of Variations and Partial Differential Equations
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Journal of Mathematical Fluid Mechanics
2 Analysis and Applications (Singapore)
2 Communications in Mathematical Analysis
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Applicable Analysis
1 International Journal of Non-Linear Mechanics
1 Inverse Problems
1 Control and Cybernetics
1 Czechoslovak Mathematical Journal
1 Mathematische Nachrichten
1 Numerische Mathematik
1 Portugaliae Mathematica
1 Proceedings of the Japan Academy. Series A
1 Quarterly of Applied Mathematics
1 Differential and Integral Equations
1 Mathematica Bohemica
1 Applications of Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Advances in Mathematical Sciences and Applications
1 Potential Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 Annales Mathématiques Blaise Pascal
1 Advances in Differential Equations
1 Analysis (München)
1 Journal of Evolution Equations
1 Communications on Pure and Applied Analysis

Publications by Year

Citations contained in zbMATH Open

91 Publications have been cited 1,332 times in 903 Documents Cited by Year
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094
Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.
379
1998
Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension. Zbl 0823.35140
Amrouche, Chérif; Girault, Vivette
134
1994
\(L^p\)-theory for vector potentials and Sobolev’s inequalities for vector fields: application to the Stokes equations with pressure boundary conditions. Zbl 1260.35101
Amrouche, Chérif; Seloula, Nour El Houda
74
2013
Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces. Zbl 0878.35029
Amrouche, C.; Girault, V.; Giroire, J.
73
1997
Weighted Sobolev spaces for Laplace’s equation in \(\mathbb{R}^ n\). Zbl 0836.35038
Amrouche, C.; Girault, V.; Giroire, J.
57
1994
On the characterizations of matrix fields as linearized strain tensor fields. Zbl 1115.35131
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
42
2006
Stationary Stokes, Oseen and Navier-Stokes equations with singular data. Zbl 1229.35164
Amrouche, Chérif; Rodríguez-Bellido, M. Ángeles
41
2011
On the existence and regularity of the solution of Stokes problem in arbitrary dimension. Zbl 0752.35047
Amrouche, Chérif; Girault, Vivette
40
1991
\(L^p\)-theory for Stokes and Navier-Stokes equations with Navier boundary condition. Zbl 1285.35063
Amrouche, Chérif; Rejaiba, Ahmed
33
2014
On the Stokes equations with the Navier-type boundary conditions. Zbl 1259.35092
Amrouche, Cherif; El Houda Seloula, Nour
25
2011
\(L^p\)-theory for vector potentials and Sobolev’s inequalities for vector fields. Zbl 1219.35044
Amrouche, Chérif; Seloula, Nour El Houda
21
2011
Pointwise decay of solutions and of higher derivatives to Navier-Stokes equations. Zbl 0986.35085
Amrouche, Cherif; Girault, Vivette; Schonbek, Maria Elena; Schonbek, Tomas P.
20
2000
Mixed exterior Laplace’s problem. Zbl 1132.35354
Amrouche, Chérif; Bonzom, Florian
17
2008
On a lemma of Jacques-Louis Lions and its relation to other fundamental results. Zbl 1344.46027
Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel
16
2015
The Stokes problem in \({\mathbb{R}}^n\): An approach in weighted Sobolev spaces. Zbl 0938.35123
Alliot, F.; Amrouche, C.
16
1999
Weak solutions for the exterior Stokes problem in weighted Sobolev spaces. Zbl 0965.35119
Alliot, F.; Amrouche, C.
15
2000
Stokes and Navier-Stokes equations with Navier boundary condition. (Équations de Stokes et de Navier-Stokes avec la condition de Navier.) Zbl 1412.35212
Acevedo, Paul; Amrouche, Chérif; Conca, Carlos; Ghosh, Amrita
15
2019
Weighted Sobolev spaces for a scalar model of the stationary Oseen equations in \(\mathbb{R}^{3}\). Zbl 1119.76015
Amrouche, Chérif; Razafison, Ulrich
12
2007
Very weak, generalized and strong solutions to the Stokes system in the half-space. Zbl 1136.35067
Amrouche, Chérif; Nečasová, Šárka; Raudin, Yves
12
2008
The Neumann problem in the half-space. Zbl 1019.35026
Amrouche, Chérif
11
2002
Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition. Zbl 0979.35038
Amrouche, Cherif; Nečasová, Šárka
11
2001
Weak vector and scalar potentials: applications to Poincaré’s theorem and Korn’s inequality in Sobolev spaces with negative exponents. Zbl 1190.49004
Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun.
11
2010
On a class of fluids grade 3. Zbl 0887.76007
Amrouche, Cherif; Cioranescu, Doina
10
1997
Generalized Stokes problems. (Problèmes généralisés de Stokes.) Zbl 0790.35084
Amrouche, Chérif; Girault, Vivette
10
1992
On Saint Venant’s compatibility conditions and Poincaré’s lemma. Zbl 1138.74005
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
9
2006
Semi-group theory for the Stokes operator with Navier-type boundary conditions on \(L^{p}\)-spaces. Zbl 1359.35143
Al Baba, Hind; Amrouche, Chérif; Escobedo, Miguel
9
2017
The stationary Oseen equations in \({\mathbb{R}}^{3}\). An approach in weighted Sobolev spaces. Zbl 1119.76016
Amrouche, Chérif; Razafison, Ulrich
9
2007
Vector and scalar potentials, Poincaré’s theorem and Korn’s inequality. Zbl 1135.35007
Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun.
9
2007
Stokes problem with several types of boundary conditions in an exterior domain. Zbl 1296.35045
Amrouche, Cherif; Meslameni, Mohamed
9
2013
Some remarks on the boundary conditions in the theory of Navier-Stokes equations. Zbl 1293.35232
Amrouche, Chérif; Penel, Patrick; Seloula, Nour
9
2013
On the Oseen problem in three-dimensional exterior domains. Zbl 1087.76023
Amrouche, Chérif; Razafison, Ulrich
8
2006
Analyticity of the semigroup generated by the Stokes operator with Navier-type boundary conditions on \(L^p\)-spaces. Zbl 1349.35267
Al Baba, Hind; Amrouche, Chérif; Escobedo, Miguel
7
2016
\(L^p\)-weighted theory for Navier-Stokes equations in exterior domains. Zbl 1179.35206
Amrouche, Chérif; Nguyen, H. Hoang
7
2010
Boussinesq system with non-homogeneous boundary conditions. Zbl 1333.35175
Acevedo, Paul; Amrouche, Chérif; Conca, Carlos
6
2016
Navier-Stokes equations with Navier boundary condition. Zbl 1352.76012
Amrouche, Chérif; Rejaiba, Ahmed
6
2016
Exterior problems in the half-space for the Laplace operator in weighted Sobolev spaces. Zbl 1169.35011
Amrouche, Chérif; Bonzom, Florian
6
2009
Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis. Zbl 1434.76027
Amrouche, Cherif; Berselli, Luigi C.; Lewandowski, Roger; Nguyen, Dinh Duong
5
2020
Stokes equations and elliptic systems with nonstandard boundary conditions. Zbl 1230.35083
Amrouche, Chérif; Seloula, Nour El Houda
5
2011
Very weak solutions for the stationary Oseen and Navier-Stokes equations. (Solutions trés faibles pour les équations stationnaires d’Oseen et de Navier-Stokes.) Zbl 1186.35133
Amrouche, Chérif; Rodríguez-Bellido, María Ángeles
5
2010
\(L^p\)-theory for the Navier-Stokes equations with pressure boundary conditions. Zbl 1264.35104
Amrouche, Chérif; Seloula, Nour El Houda
5
2013
Stokes problem in \(\mathbb{R}^n\) and weighted Sobolev spaces. (Problème de Stokes dans \(\mathbb{R}^n\) et espaces de Sobolev avec poids.) Zbl 0894.35082
Alliot, Frédéric; Amrouche, Chérif
4
1997
\(L^p\) theory for Boussinesq system with Dirichlet boundary conditions. Zbl 1409.35165
Acevedo, Paul; Amrouche, Chérif; Conca, Carlos
4
2019
New estimates for the div-curl-grad operators and elliptic problems with \(L^{1}\)-data in the whole space and in the half-space. Zbl 1213.35205
Amrouche, Chérif; Nguyen, Huy Hoang
4
2011
Weighted Sobolev spaces and Laplace’s equation in \(\mathbb{R}^ n\). I. (Espaces de Sobolev avec poids et équation de Laplace dans \(\mathbb{R}^ n\). I.) Zbl 0801.46035
Amrouche, Chérif; Girault, Vivette; Giroire, Jean
4
1992
Uniform \(W^{1,p}\) estimates for an elliptic operator with Robin boundary condition in a \(\mathcal{C}^1\) domain. Zbl 1437.35228
Amrouche, C.; Conca, C.; Ghosh, A.; Ghosh, T.
4
2020
On the stationary Oseen equations in \(\mathbb R^3\). Zbl 1235.35216
Amrouche, Chérif; Consiglieri, Luisa
4
2011
An \(L^p\) theory of linear elasticity in the half-space. Zbl 1303.35023
Amrouche, Chérif; Dambrine, Marc; Raudin, Yves
4
2012
\(L^p\)-inequalities for scalar Oseen potential. Zbl 1134.35021
Amrouche, Chérif; Bouzit, Hamid
4
2008
Weighted Sobolev spaces for the steady scalar Oseen equation in \(\mathbb R^n\). (Espaces de Sobolev avec poids et équation scalaire d’Oseen dans \(\mathbb R^n\).) Zbl 1038.35066
Amrouche, Chérif; Razafison, Ulrich
4
2003
Nonhomogeneous biharmonic problem in the half-space, \(L^{p}\) theory and generalized solutions. Zbl 1142.35015
Amrouche, Chérif; Raudin, Yves
4
2007
Stokes and Navier-Stokes equations with Navier boundary conditions. Zbl 1466.35281
Acevedo Tapia, P.; Amrouche, C.; Conca, C.; Ghosh, A.
4
2021
The scalar Oseen operator \(-\Delta + {\partial }/{\partial x_1}\) in \(\mathbb R^2\). Zbl 1177.76080
Amrouche, Chérif; Bouzit, Hamid
4
2008
Existence and regularity of solution for a model in magnetohydrodynamics. Zbl 1482.35166
Amrouche, Chérif; Boukassa, Saliha
3
2020
Remarks on a lemma by Jacques-Louis Lions. (Ramarques sur un lemme de Jacques-Louis Lions.) Zbl 1304.35025
Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel
3
2014
Linearized Navier-Stokes equations in \(\mathbb{R}^3\): an approach in weighted Sobolev spaces. Zbl 1302.35292
Amrouche, Chérif; Meslameni, Mohamed; Nečasová, Šárka
3
2014
The Oseen and Navier-Stokes equations in a non-solenoidal framework. Zbl 1356.35154
Amrouche, Chérif; Rodríguez-Bellido, María Ángeles
3
2016
Stationary Stokes equations with friction slip boundary conditions. Zbl 1360.35135
Amrouche, Chérif; Rejaiba, Ahmed
3
2014
New formulations of linearized elasticity problems, based on extensions of Donati’s theorem. Zbl 1090.74007
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
3
2006
On the two and three dimensional Oseen potentials. Zbl 1215.35073
Amrouche, Chérif; Bouzit, Hamid; Razafison, Ulrich
3
2011
New estimates for the div, curl, grad operators and elliptic problems with \(L^{1}\)-data in the half-space. Zbl 1213.35147
Amrouche, Chérif; Nguyen, Huy Hoang
3
2011
Stokes and Navier-Stokes problems with Navier-type boundary condition in \(L^p\)-spaces. Zbl 1433.35216
Al Baba, Hind; Amrouche, Chérif
2
2019
Inf sup conditions in nonreflexive Banach spaces. (Conditions “inf sup” dans les espaces de Banach non réflexifs.) Zbl 0965.35007
Amrouche, Chérif; Ratsimahalo, Robert
2
2000
Very weak solutions for the Stokes problem in an exterior domain. Zbl 1302.35291
Amrouche, Chérif; Meslameni, Mohamed
2
2013
Resolvent estimates for wave operators in Lipschitz domains. Zbl 1473.35115
Ammari, Kaïs; Amrouche, Chérif
2
2021
\(L^p\)-theory for the time dependent Navier-Stokes problem with Navier-type boundary conditions. 2nd edition. Zbl 1351.35100
Al Baba, Hind; Amrouche, Chérif; Escobedo, Miguel
2
2016
The time-dependent Stokes problem with Navier slip boundary conditions on \(L^p\)-spaces. Zbl 1358.35086
Al Baba, Hind; Amrouche, Chérif; Rejaiba, Ahmed
2
2016
Elliptic problems with \(L^1\)-data in the half-space. Zbl 1253.35043
Amrouche, Chérif; Nguyen Huy Hoang
2
2012
The biharmonic problem in the half-space with traces in weighted Sobolev spaces. Zbl 1170.35037
Amrouche, Chérif; Raudin, Yves
2
2007
Biharmonic problem in exterior domains of \(\mathbb R^n\): An approach with weighted Sobolev spaces. Zbl 1129.35347
Amrouche, Chérif; Fontes, Mathieu
2
2005
Weighted estimates for the Oseen problem in \(\mathbb R^3\). Zbl 1125.35074
Amrouche, Chérif; Razafison, Ulrich
2
2006
Anisotropically weighted Poincaré-type inequalities: application to the Oseen problem. Zbl 1106.26019
Amrouche, Chérif; Razafison, Ulrich
2
2006
Propriétés d’opérateurs de dérivation. Application au problème non homogène de Stokes. (Properties of derivation operators. Application to the nonhomogeneous Stokes’ problem). Zbl 0698.46035
Amrouche, Chérif
2
1990
Vector potentials with mixed boundary conditions: application to the Stokes problem with pressure and Navier-type boundary conditions. Zbl 1465.35122
Amrouche, Chérif; Boussetouan, Imane
2
2021
Reflection principles and kernels in \(\mathbb R^n_+\) for the biharmonic and Stokes operators. Solutions in a large class of weighted Sobolev spaces. Zbl 1193.35030
Amrouche, Chérif; Raudin, Yves
2
2010
On the very weak solution for the Oseen and Navier-Stokes equations. Zbl 1198.35173
Amrouche, Chérif; Rodríguez-Bellido, María Ángeles
2
2010
From strong to very weak solutions to the Stokes system with Navier boundary conditions in the half-space. Zbl 1197.35188
Amrouche, Chérif; Nečasová, Šárka; Raudin, Yves
2
2009
On the existence of solutions in weighted Sobolev spaces for the exterior Oseen problem. Zbl 1083.35104
Amrouche, Chérif; Razafison, Ulrich
2
2005
Exterior Stokes problem in the half-space. Zbl 1181.35165
Amrouche, Chérif; Bonzom, Florian
2
2009
Very weak solutions for the stationary Stokes equations. Zbl 1186.35045
Amrouche, Chérif; Rodríguez-Bellido, María Ángeles
2
2010
The stationary Oseen equations in an exterior domain: an approach in weighted Sobolev spaces. Zbl 1285.35062
Amrouche, Chérif; Meslameni, Mohamed; Nečasová, Šárka
2
2014
Singular boundary conditions and regularity for the biharmonic problem in the half-space. Zbl 1149.35031
Amrouche, Chérif; Raudin, Yves
1
2007
Shape sensitivity analysis of the Dirichlet Laplacian in a half-space. Zbl 1273.35100
Amrouche, Cherif; Nečasová, Šárka; Sokołowski, Jan
1
2004
On the regularity and decay of the weak solutions to the steady-state Navier-Stokes equations in exterior domains. Zbl 0953.35110
Alliot, Frédéric; Amrouche, Cherif
1
1999
Weighted Sobolev spaces and Laplace’s equation in \({\mathbb{R}{}}^ n\). II. (Espaces de Sobolev avec poids et équation de Laplace dans \({\mathbb{R}{}}^ n\). II.) Zbl 0793.46013
Amrouche, Chérif; Girault, Vivette; Giroire, Jean
1
1992
Sur une classe de fluides non newtoniens: Les solutions aqueuses de polymères. (On a class of non-Newtonian fluids: Aqueous solutions of polymers). Zbl 0765.76002
Amrouche, C.
1
1992
On the curl operator and some characterizations of matrix fields in Lipschitz domains. Zbl 1458.35127
Amrouche, Chérif; Bahouli, Bassem; Ouazar, El Hacène
1
2021
Navier-Stokes equations with periodic boundary conditions and pressure loss. Zbl 1126.76015
Amrouche, Chérif; Batchi, Macaire; Batina, Jean
1
2007
Energy solutions for polymer aqueous solutions in two dimension. Zbl 1158.35403
Amrouche, C.; Ouazar, E. H.
1
2008
Isotropically and anisotropically weighted Sobolev spaces for the Oseen equation. Zbl 1374.35300
Amrouche, Chérif; Razafison, Ulrich
1
2010
Weighted Sobolev inequalities for the Riesz potentials and transforms. Zbl 1212.42022
Amrouche, Chérif
1
2005
Semigroup theory for the Stokes operator with Navier boundary condition on \(L^p\) spaces. Zbl 1485.35315
Amrouche, Chérif; Escobedo, Miguel; Ghosh, Amrita
1
2021
Stokes and Navier-Stokes equations with Navier boundary conditions. Zbl 1466.35281
Acevedo Tapia, P.; Amrouche, C.; Conca, C.; Ghosh, A.
4
2021
Resolvent estimates for wave operators in Lipschitz domains. Zbl 1473.35115
Ammari, Kaïs; Amrouche, Chérif
2
2021
Vector potentials with mixed boundary conditions: application to the Stokes problem with pressure and Navier-type boundary conditions. Zbl 1465.35122
Amrouche, Chérif; Boussetouan, Imane
2
2021
On the curl operator and some characterizations of matrix fields in Lipschitz domains. Zbl 1458.35127
Amrouche, Chérif; Bahouli, Bassem; Ouazar, El Hacène
1
2021
Semigroup theory for the Stokes operator with Navier boundary condition on \(L^p\) spaces. Zbl 1485.35315
Amrouche, Chérif; Escobedo, Miguel; Ghosh, Amrita
1
2021
Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis. Zbl 1434.76027
Amrouche, Cherif; Berselli, Luigi C.; Lewandowski, Roger; Nguyen, Dinh Duong
5
2020
Uniform \(W^{1,p}\) estimates for an elliptic operator with Robin boundary condition in a \(\mathcal{C}^1\) domain. Zbl 1437.35228
Amrouche, C.; Conca, C.; Ghosh, A.; Ghosh, T.
4
2020
Existence and regularity of solution for a model in magnetohydrodynamics. Zbl 1482.35166
Amrouche, Chérif; Boukassa, Saliha
3
2020
Stokes and Navier-Stokes equations with Navier boundary condition. (Équations de Stokes et de Navier-Stokes avec la condition de Navier.) Zbl 1412.35212
Acevedo, Paul; Amrouche, Chérif; Conca, Carlos; Ghosh, Amrita
15
2019
\(L^p\) theory for Boussinesq system with Dirichlet boundary conditions. Zbl 1409.35165
Acevedo, Paul; Amrouche, Chérif; Conca, Carlos
4
2019
Stokes and Navier-Stokes problems with Navier-type boundary condition in \(L^p\)-spaces. Zbl 1433.35216
Al Baba, Hind; Amrouche, Chérif
2
2019
Semi-group theory for the Stokes operator with Navier-type boundary conditions on \(L^{p}\)-spaces. Zbl 1359.35143
Al Baba, Hind; Amrouche, Chérif; Escobedo, Miguel
9
2017
Analyticity of the semigroup generated by the Stokes operator with Navier-type boundary conditions on \(L^p\)-spaces. Zbl 1349.35267
Al Baba, Hind; Amrouche, Chérif; Escobedo, Miguel
7
2016
Boussinesq system with non-homogeneous boundary conditions. Zbl 1333.35175
Acevedo, Paul; Amrouche, Chérif; Conca, Carlos
6
2016
Navier-Stokes equations with Navier boundary condition. Zbl 1352.76012
Amrouche, Chérif; Rejaiba, Ahmed
6
2016
The Oseen and Navier-Stokes equations in a non-solenoidal framework. Zbl 1356.35154
Amrouche, Chérif; Rodríguez-Bellido, María Ángeles
3
2016
\(L^p\)-theory for the time dependent Navier-Stokes problem with Navier-type boundary conditions. 2nd edition. Zbl 1351.35100
Al Baba, Hind; Amrouche, Chérif; Escobedo, Miguel
2
2016
The time-dependent Stokes problem with Navier slip boundary conditions on \(L^p\)-spaces. Zbl 1358.35086
Al Baba, Hind; Amrouche, Chérif; Rejaiba, Ahmed
2
2016
On a lemma of Jacques-Louis Lions and its relation to other fundamental results. Zbl 1344.46027
Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel
16
2015
\(L^p\)-theory for Stokes and Navier-Stokes equations with Navier boundary condition. Zbl 1285.35063
Amrouche, Chérif; Rejaiba, Ahmed
33
2014
Remarks on a lemma by Jacques-Louis Lions. (Ramarques sur un lemme de Jacques-Louis Lions.) Zbl 1304.35025
Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel
3
2014
Linearized Navier-Stokes equations in \(\mathbb{R}^3\): an approach in weighted Sobolev spaces. Zbl 1302.35292
Amrouche, Chérif; Meslameni, Mohamed; Nečasová, Šárka
3
2014
Stationary Stokes equations with friction slip boundary conditions. Zbl 1360.35135
Amrouche, Chérif; Rejaiba, Ahmed
3
2014
The stationary Oseen equations in an exterior domain: an approach in weighted Sobolev spaces. Zbl 1285.35062
Amrouche, Chérif; Meslameni, Mohamed; Nečasová, Šárka
2
2014
\(L^p\)-theory for vector potentials and Sobolev’s inequalities for vector fields: application to the Stokes equations with pressure boundary conditions. Zbl 1260.35101
Amrouche, Chérif; Seloula, Nour El Houda
74
2013
Stokes problem with several types of boundary conditions in an exterior domain. Zbl 1296.35045
Amrouche, Cherif; Meslameni, Mohamed
9
2013
Some remarks on the boundary conditions in the theory of Navier-Stokes equations. Zbl 1293.35232
Amrouche, Chérif; Penel, Patrick; Seloula, Nour
9
2013
\(L^p\)-theory for the Navier-Stokes equations with pressure boundary conditions. Zbl 1264.35104
Amrouche, Chérif; Seloula, Nour El Houda
5
2013
Very weak solutions for the Stokes problem in an exterior domain. Zbl 1302.35291
Amrouche, Chérif; Meslameni, Mohamed
2
2013
An \(L^p\) theory of linear elasticity in the half-space. Zbl 1303.35023
Amrouche, Chérif; Dambrine, Marc; Raudin, Yves
4
2012
Elliptic problems with \(L^1\)-data in the half-space. Zbl 1253.35043
Amrouche, Chérif; Nguyen Huy Hoang
2
2012
Stationary Stokes, Oseen and Navier-Stokes equations with singular data. Zbl 1229.35164
Amrouche, Chérif; Rodríguez-Bellido, M. Ángeles
41
2011
On the Stokes equations with the Navier-type boundary conditions. Zbl 1259.35092
Amrouche, Cherif; El Houda Seloula, Nour
25
2011
\(L^p\)-theory for vector potentials and Sobolev’s inequalities for vector fields. Zbl 1219.35044
Amrouche, Chérif; Seloula, Nour El Houda
21
2011
Stokes equations and elliptic systems with nonstandard boundary conditions. Zbl 1230.35083
Amrouche, Chérif; Seloula, Nour El Houda
5
2011
New estimates for the div-curl-grad operators and elliptic problems with \(L^{1}\)-data in the whole space and in the half-space. Zbl 1213.35205
Amrouche, Chérif; Nguyen, Huy Hoang
4
2011
On the stationary Oseen equations in \(\mathbb R^3\). Zbl 1235.35216
Amrouche, Chérif; Consiglieri, Luisa
4
2011
On the two and three dimensional Oseen potentials. Zbl 1215.35073
Amrouche, Chérif; Bouzit, Hamid; Razafison, Ulrich
3
2011
New estimates for the div, curl, grad operators and elliptic problems with \(L^{1}\)-data in the half-space. Zbl 1213.35147
Amrouche, Chérif; Nguyen, Huy Hoang
3
2011
Weak vector and scalar potentials: applications to Poincaré’s theorem and Korn’s inequality in Sobolev spaces with negative exponents. Zbl 1190.49004
Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun.
11
2010
\(L^p\)-weighted theory for Navier-Stokes equations in exterior domains. Zbl 1179.35206
Amrouche, Chérif; Nguyen, H. Hoang
7
2010
Very weak solutions for the stationary Oseen and Navier-Stokes equations. (Solutions trés faibles pour les équations stationnaires d’Oseen et de Navier-Stokes.) Zbl 1186.35133
Amrouche, Chérif; Rodríguez-Bellido, María Ángeles
5
2010
Reflection principles and kernels in \(\mathbb R^n_+\) for the biharmonic and Stokes operators. Solutions in a large class of weighted Sobolev spaces. Zbl 1193.35030
Amrouche, Chérif; Raudin, Yves
2
2010
On the very weak solution for the Oseen and Navier-Stokes equations. Zbl 1198.35173
Amrouche, Chérif; Rodríguez-Bellido, María Ángeles
2
2010
Very weak solutions for the stationary Stokes equations. Zbl 1186.35045
Amrouche, Chérif; Rodríguez-Bellido, María Ángeles
2
2010
Isotropically and anisotropically weighted Sobolev spaces for the Oseen equation. Zbl 1374.35300
Amrouche, Chérif; Razafison, Ulrich
1
2010
Exterior problems in the half-space for the Laplace operator in weighted Sobolev spaces. Zbl 1169.35011
Amrouche, Chérif; Bonzom, Florian
6
2009
From strong to very weak solutions to the Stokes system with Navier boundary conditions in the half-space. Zbl 1197.35188
Amrouche, Chérif; Nečasová, Šárka; Raudin, Yves
2
2009
Exterior Stokes problem in the half-space. Zbl 1181.35165
Amrouche, Chérif; Bonzom, Florian
2
2009
Mixed exterior Laplace’s problem. Zbl 1132.35354
Amrouche, Chérif; Bonzom, Florian
17
2008
Very weak, generalized and strong solutions to the Stokes system in the half-space. Zbl 1136.35067
Amrouche, Chérif; Nečasová, Šárka; Raudin, Yves
12
2008
\(L^p\)-inequalities for scalar Oseen potential. Zbl 1134.35021
Amrouche, Chérif; Bouzit, Hamid
4
2008
The scalar Oseen operator \(-\Delta + {\partial }/{\partial x_1}\) in \(\mathbb R^2\). Zbl 1177.76080
Amrouche, Chérif; Bouzit, Hamid
4
2008
Energy solutions for polymer aqueous solutions in two dimension. Zbl 1158.35403
Amrouche, C.; Ouazar, E. H.
1
2008
Weighted Sobolev spaces for a scalar model of the stationary Oseen equations in \(\mathbb{R}^{3}\). Zbl 1119.76015
Amrouche, Chérif; Razafison, Ulrich
12
2007
The stationary Oseen equations in \({\mathbb{R}}^{3}\). An approach in weighted Sobolev spaces. Zbl 1119.76016
Amrouche, Chérif; Razafison, Ulrich
9
2007
Vector and scalar potentials, Poincaré’s theorem and Korn’s inequality. Zbl 1135.35007
Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun.
9
2007
Nonhomogeneous biharmonic problem in the half-space, \(L^{p}\) theory and generalized solutions. Zbl 1142.35015
Amrouche, Chérif; Raudin, Yves
4
2007
The biharmonic problem in the half-space with traces in weighted Sobolev spaces. Zbl 1170.35037
Amrouche, Chérif; Raudin, Yves
2
2007
Singular boundary conditions and regularity for the biharmonic problem in the half-space. Zbl 1149.35031
Amrouche, Chérif; Raudin, Yves
1
2007
Navier-Stokes equations with periodic boundary conditions and pressure loss. Zbl 1126.76015
Amrouche, Chérif; Batchi, Macaire; Batina, Jean
1
2007
On the characterizations of matrix fields as linearized strain tensor fields. Zbl 1115.35131
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
42
2006
On Saint Venant’s compatibility conditions and Poincaré’s lemma. Zbl 1138.74005
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
9
2006
On the Oseen problem in three-dimensional exterior domains. Zbl 1087.76023
Amrouche, Chérif; Razafison, Ulrich
8
2006
New formulations of linearized elasticity problems, based on extensions of Donati’s theorem. Zbl 1090.74007
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
3
2006
Weighted estimates for the Oseen problem in \(\mathbb R^3\). Zbl 1125.35074
Amrouche, Chérif; Razafison, Ulrich
2
2006
Anisotropically weighted Poincaré-type inequalities: application to the Oseen problem. Zbl 1106.26019
Amrouche, Chérif; Razafison, Ulrich
2
2006
Biharmonic problem in exterior domains of \(\mathbb R^n\): An approach with weighted Sobolev spaces. Zbl 1129.35347
Amrouche, Chérif; Fontes, Mathieu
2
2005
On the existence of solutions in weighted Sobolev spaces for the exterior Oseen problem. Zbl 1083.35104
Amrouche, Chérif; Razafison, Ulrich
2
2005
Weighted Sobolev inequalities for the Riesz potentials and transforms. Zbl 1212.42022
Amrouche, Chérif
1
2005
Shape sensitivity analysis of the Dirichlet Laplacian in a half-space. Zbl 1273.35100
Amrouche, Cherif; Nečasová, Šárka; Sokołowski, Jan
1
2004
Weighted Sobolev spaces for the steady scalar Oseen equation in \(\mathbb R^n\). (Espaces de Sobolev avec poids et équation scalaire d’Oseen dans \(\mathbb R^n\).) Zbl 1038.35066
Amrouche, Chérif; Razafison, Ulrich
4
2003
The Neumann problem in the half-space. Zbl 1019.35026
Amrouche, Chérif
11
2002
Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition. Zbl 0979.35038
Amrouche, Cherif; Nečasová, Šárka
11
2001
Pointwise decay of solutions and of higher derivatives to Navier-Stokes equations. Zbl 0986.35085
Amrouche, Cherif; Girault, Vivette; Schonbek, Maria Elena; Schonbek, Tomas P.
20
2000
Weak solutions for the exterior Stokes problem in weighted Sobolev spaces. Zbl 0965.35119
Alliot, F.; Amrouche, C.
15
2000
Inf sup conditions in nonreflexive Banach spaces. (Conditions “inf sup” dans les espaces de Banach non réflexifs.) Zbl 0965.35007
Amrouche, Chérif; Ratsimahalo, Robert
2
2000
The Stokes problem in \({\mathbb{R}}^n\): An approach in weighted Sobolev spaces. Zbl 0938.35123
Alliot, F.; Amrouche, C.
16
1999
On the regularity and decay of the weak solutions to the steady-state Navier-Stokes equations in exterior domains. Zbl 0953.35110
Alliot, Frédéric; Amrouche, Cherif
1
1999
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094
Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V.
379
1998
Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces. Zbl 0878.35029
Amrouche, C.; Girault, V.; Giroire, J.
73
1997
On a class of fluids grade 3. Zbl 0887.76007
Amrouche, Cherif; Cioranescu, Doina
10
1997
Stokes problem in \(\mathbb{R}^n\) and weighted Sobolev spaces. (Problème de Stokes dans \(\mathbb{R}^n\) et espaces de Sobolev avec poids.) Zbl 0894.35082
Alliot, Frédéric; Amrouche, Chérif
4
1997
Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension. Zbl 0823.35140
Amrouche, Chérif; Girault, Vivette
134
1994
Weighted Sobolev spaces for Laplace’s equation in \(\mathbb{R}^ n\). Zbl 0836.35038
Amrouche, C.; Girault, V.; Giroire, J.
57
1994
Generalized Stokes problems. (Problèmes généralisés de Stokes.) Zbl 0790.35084
Amrouche, Chérif; Girault, Vivette
10
1992
Weighted Sobolev spaces and Laplace’s equation in \(\mathbb{R}^ n\). I. (Espaces de Sobolev avec poids et équation de Laplace dans \(\mathbb{R}^ n\). I.) Zbl 0801.46035
Amrouche, Chérif; Girault, Vivette; Giroire, Jean
4
1992
Weighted Sobolev spaces and Laplace’s equation in \({\mathbb{R}{}}^ n\). II. (Espaces de Sobolev avec poids et équation de Laplace dans \({\mathbb{R}{}}^ n\). II.) Zbl 0793.46013
Amrouche, Chérif; Girault, Vivette; Giroire, Jean
1
1992
Sur une classe de fluides non newtoniens: Les solutions aqueuses de polymères. (On a class of non-Newtonian fluids: Aqueous solutions of polymers). Zbl 0765.76002
Amrouche, C.
1
1992
On the existence and regularity of the solution of Stokes problem in arbitrary dimension. Zbl 0752.35047
Amrouche, Chérif; Girault, Vivette
40
1991
Propriétés d’opérateurs de dérivation. Application au problème non homogène de Stokes. (Properties of derivation operators. Application to the nonhomogeneous Stokes’ problem). Zbl 0698.46035
Amrouche, Chérif
2
1990
all top 5

Cited by 1,003 Authors

67 Amrouche, Chérif
38 Ciarlet, Philippe Gaston
25 Ciarlet, Patrick jun.
16 Rojas-Medar, Marko Antonio
15 Nicaise, Serge
15 Vougalter, Vitali
14 Aramaki, Junichi
14 Duan, Huoyuan
14 Rodríguez-Bellido, Maria Angeles
13 Kohr, Mirela
13 Rodríguez, Rodolfo
13 Wendland, Wolfgang L.
12 Boulmezaoud, Tahar Zamène
12 Hiptmair, Ralf
11 Mardare, Cristinel
11 Nečasová, Šárka
11 Razafison, Ulrich
11 Zou, Jun
10 Pan, Xingbin
10 Zhong, Xin
9 Bernardi, Christine
9 Berselli, Luigi Carlo
9 Buffa, Annalisa
9 Chorfi, Nejmeddine
9 Girault, Vivette
9 Gratie, Liliana
9 Medková, Dagmar
9 Perugia, Ilaria
9 Rueda-Gómez, Diego Armando
9 Volpert, Vitaly A.
8 Al Baba, Hind
8 Geymonat, Giuseppe
8 Guillén González, Francisco M.
8 Meslameni, Mohamed
8 Mikhailov, Sergey E.
8 Pasciak, Joseph E.
8 Tan, Roger C. E.
8 Yousept, Irwin
7 Bermúdez, Alfredo
7 Kang, Tong
7 Krasucki, Françoise
7 Li, Jichun
7 Pauly, Dirk
7 Schötzau, Dominik
7 Zheng, Weiying
6 Alonso Rodríguez, Ana
6 Boldrini, José Luiz
6 Chacón Rebollo, Tomás
6 Chen, Tao
6 Conca, Carlos
6 Gatica, Gabriel N.
6 Iosifescu, Oana
6 Joly, Patrick
6 Kim, Hyunseok
6 Mederski, Jarosław
6 Salgado, Pilar
6 Seloula, Nour El Houda
6 Slodička, Marián
6 Triggiani, Roberto
6 Valli, Alberto
5 Abdelwahed, Mohamed
5 Boffi, Daniele
5 Bramble, James H.
5 Deuring, Paul
5 Ghosh, Amrita
5 Imperiale, Sébastien
5 Kerdid, Nabil
5 Kračmar, Stanislav
5 Lasiecka, Irena
5 Lewandowski, Roger
5 Mallea-Zepeda, Exequiel
5 Priyasad, Buddhika
5 Raudin, Yves
5 Serrano, Hélia
4 Amirat, Youcef Aït
4 Aspri, Andrea
4 Beirão da Veiga, Lourenço
4 Beretta, Elena
4 Braz e Silva, Pablo
4 Costabel, Martin
4 Dauge, Monique
4 Di Pietro, Daniele Antonio
4 Ern, Alexandre
4 Gastaldi, Lucia
4 Gazzola, Filippo
4 Gopalakrishnan, Jayadeep
4 Guermond, Jean-Luc
4 Hecht, Frédéric
4 Hoppe, Ronald H. W.
4 Houston, Paul
4 Jiang, Xue
4 Kesavan, Srinivasan
4 Kukavica, Igor
4 Lin, Ping
4 Moiola, Andrea
4 Munnier, Alexandre
4 Nguyen Huy Hoang
4 Ortega-Torres, Elva E.
4 Ruiz-Baier, Ricardo
4 Schumacher, Katrin
...and 903 more Authors
all top 5

Cited in 196 Serials

39 Comptes Rendus. Mathématique. Académie des Sciences, Paris
35 Journal of Differential Equations
32 Journal of Mathematical Analysis and Applications
32 Mathematics of Computation
31 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
31 Journal of Mathematical Fluid Mechanics
26 Numerische Mathematik
23 Computers & Mathematics with Applications
23 Mathematical Methods in the Applied Sciences
20 Computer Methods in Applied Mechanics and Engineering
20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 Journal de Mathématiques Pures et Appliquées. Neuvième Série
18 Journal of Computational and Applied Mathematics
18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
17 Journal of Scientific Computing
16 Archive for Rational Mechanics and Analysis
15 SIAM Journal on Numerical Analysis
14 Applied Numerical Mathematics
13 SIAM Journal on Mathematical Analysis
12 Calculus of Variations and Partial Differential Equations
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Journal of Functional Analysis
10 Applied Mathematics Letters
10 Nonlinear Analysis. Real World Applications
9 Applicable Analysis
9 Discrete and Continuous Dynamical Systems. Series S
8 Chinese Annals of Mathematics. Series B
8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Mathematische Nachrichten
7 Journal of Elasticity
7 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
7 Analysis and Applications (Singapore)
7 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
6 Journal of Computational Physics
6 Applied Mathematics and Computation
6 Journal of Mathematical Sciences (New York)
6 Discrete and Continuous Dynamical Systems
6 Abstract and Applied Analysis
5 SIAM Journal on Control and Optimization
5 Applications of Mathematics
5 Advances in Computational Mathematics
5 Journal of Evolution Equations
5 Journal of Elliptic and Parabolic Equations
4 Journal of Mathematical Physics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Integral Equations and Operator Theory
4 Quarterly of Applied Mathematics
4 Acta Applicandae Mathematicae
4 Numerical Methods for Partial Differential Equations
4 SIAM Journal on Scientific Computing
4 Discrete and Continuous Dynamical Systems. Series B
4 Computational Methods in Applied Mathematics
4 Communications on Pure and Applied Analysis
4 Boundary Value Problems
4 Complex Variables and Elliptic Equations
4 Science China. Mathematics
4 Advances in Nonlinear Analysis
4 SN Partial Differential Equations and Applications
3 Communications in Mathematical Physics
3 Inverse Problems
3 Nonlinearity
3 Applied Mathematics and Optimization
3 Calcolo
3 Numerical Functional Analysis and Optimization
3 Zeitschrift für Analysis und ihre Anwendungen
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Mathematical and Computer Modelling
3 Asymptotic Analysis
3 Japan Journal of Industrial and Applied Mathematics
3 Numerical Algorithms
3 Communications in Partial Differential Equations
3 Journal of Numerical Mathematics
3 Multiscale Modeling & Simulation
3 Communications in Computational Physics
3 Journal of Pseudo-Differential Operators and Applications
3 AIMS Mathematics
2 International Journal of Engineering Science
2 Journal of Fluid Mechanics
2 Czechoslovak Mathematical Journal
2 International Journal for Numerical Methods in Engineering
2 Journal of the Mathematical Society of Japan
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 Revista Matemática Iberoamericana
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 SIAM Journal on Applied Mathematics
2 Journal of Dynamics and Differential Equations
2 Journal of Nonlinear Science
2 Potential Analysis
2 ETNA. Electronic Transactions on Numerical Analysis
2 Journal of Convex Analysis
2 Advances in Differential Equations
2 Taiwanese Journal of Mathematics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Analysis (München)
2 Communications in Contemporary Mathematics
2 Foundations of Computational Mathematics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Bulletin of the Brazilian Mathematical Society. New Series
...and 96 more Serials
all top 5

Cited in 42 Fields

667 Partial differential equations (35-XX)
366 Fluid mechanics (76-XX)
300 Numerical analysis (65-XX)
210 Optics, electromagnetic theory (78-XX)
92 Mechanics of deformable solids (74-XX)
60 Calculus of variations and optimal control; optimization (49-XX)
51 Functional analysis (46-XX)
34 Operator theory (47-XX)
28 Global analysis, analysis on manifolds (58-XX)
18 Statistical mechanics, structure of matter (82-XX)
18 Systems theory; control (93-XX)
17 Differential geometry (53-XX)
17 Biology and other natural sciences (92-XX)
15 Classical thermodynamics, heat transfer (80-XX)
14 Integral equations (45-XX)
13 Potential theory (31-XX)
12 Real functions (26-XX)
12 Geophysics (86-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
6 Approximations and expansions (41-XX)
5 Relativity and gravitational theory (83-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Mechanics of particles and systems (70-XX)
4 Quantum theory (81-XX)
3 Functions of a complex variable (30-XX)
3 Ordinary differential equations (34-XX)
3 Computer science (68-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Measure and integration (28-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Manifolds and cell complexes (57-XX)
2 Astronomy and astrophysics (85-XX)
2 Operations research, mathematical programming (90-XX)
2 Information and communication theory, circuits (94-XX)
1 Combinatorics (05-XX)
1 Algebraic geometry (14-XX)
1 Category theory; homological algebra (18-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Probability theory and stochastic processes (60-XX)

Citations by Year