Edit Profile (opens in new tab) Amrouche, Chérif Compute Distance To: Compute Author ID: amrouche.cherif Published as: Amrouche, Chérif; Amrouche, C.; Amrouche, Cherif more...less Documents Indexed: 112 Publications since 1988 4 Contributions as Editor Co-Authors: 58 Co-Authors with 111 Joint Publications 1,062 Co-Co-Authors all top 5 Co-Authors 5 single-authored 11 Girault, Vivette 10 Razafison, Ulrich 8 Nečasová, Šárka 8 Raudin, Yves 7 Ciarlet, Philippe Gaston 7 Seloula, Nour El Houda 6 Al Baba, Hind 6 Meslameni, Mohamed 6 Nguyen Huy Hoang 6 Rodríguez-Bellido, Maria Angeles 5 Conca, Carlos 5 Giroire, Jean 4 Ahusborde, Etienne 4 Alliot, Frédéric 4 Bonzom, Florian 4 Escobedo Martínez, Miguel 4 Ghosh, Amrita 4 López de Silanes, María Cruz 4 Palacios, Manuel 4 Rejaiba, Ahmed 3 Acevedo, Paul 3 Bouzit, Hamid 3 Gratie, Liliana 3 Kesavan, Srinivasan 3 Ouazar, El Hacène 2 Bahouli, Bassem 2 Batchi, Macaire 2 Batina, Jean 2 Carbou, Gilles 2 Ciarlet, Patrick jun. 2 Dahoumane, Fabien 2 Fontes, Mathieu 2 Luce, Robert 2 Mardare, Cristinel 2 Sokołowski, Jan 2 Vallet, Guy 1 Acevedo Tapia, P. 1 Aibeche, Aissa 1 Ammari, Kais 1 Bernardi, Christine 1 Berselli, Luigi Carlo 1 Boukassa, Saliha 1 Boussetouan, Imane 1 Cioranescu, Doina 1 Consiglieri, Luisa 1 Dambrine, Marc 1 Dauge, Monique 1 Ghosh, Tuhin 1 Gracia, José Luis 1 Lewandowski, Roger 1 Nguyen, Dinh Duong 1 Penel, Patrick 1 Perez, Sylvie 1 Ratsimahalo, Robert 1 Schonbek, Maria Elena 1 Schonbek, Tomas P. 1 Warnault, Guillaume 1 Wehbe, Elsy 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 all top 5 Fields 111 Partial differential equations (35-XX) 64 Fluid mechanics (76-XX) 15 Functional analysis (46-XX) 6 Mechanics of deformable solids (74-XX) 5 Numerical analysis (65-XX) 4 General and overarching topics; collections (00-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 2 Real functions (26-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications 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 0914.35094Amrouche, C.; Bernardi, C.; Dauge, M.; Girault, V. 379 1998 Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension. Zbl 0823.35140Amrouche, 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 1260.35101Amrouche, 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 0878.35029Amrouche, C.; Girault, V.; Giroire, J. 73 1997 Weighted Sobolev spaces for Laplace’s equation in \(\mathbb{R}^ n\). Zbl 0836.35038Amrouche, C.; Girault, V.; Giroire, J. 57 1994 On the characterizations of matrix fields as linearized strain tensor fields. Zbl 1115.35131Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 42 2006 Stationary Stokes, Oseen and Navier-Stokes equations with singular data. Zbl 1229.35164Amrouche, Chérif; Rodríguez-Bellido, M. Ángeles 41 2011 On the existence and regularity of the solution of Stokes problem in arbitrary dimension. Zbl 0752.35047Amrouche, Chérif; Girault, Vivette 40 1991 \(L^p\)-theory for Stokes and Navier-Stokes equations with Navier boundary condition. Zbl 1285.35063Amrouche, Chérif; Rejaiba, Ahmed 33 2014 On the Stokes equations with the Navier-type boundary conditions. Zbl 1259.35092Amrouche, Cherif; El Houda Seloula, Nour 25 2011 \(L^p\)-theory for vector potentials and Sobolev’s inequalities for vector fields. Zbl 1219.35044Amrouche, Chérif; Seloula, Nour El Houda 21 2011 Pointwise decay of solutions and of higher derivatives to Navier-Stokes equations. Zbl 0986.35085Amrouche, Cherif; Girault, Vivette; Schonbek, Maria Elena; Schonbek, Tomas P. 20 2000 Mixed exterior Laplace’s problem. Zbl 1132.35354Amrouche, Chérif; Bonzom, Florian 17 2008 On a lemma of Jacques-Louis Lions and its relation to other fundamental results. Zbl 1344.46027Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel 16 2015 The Stokes problem in \({\mathbb{R}}^n\): An approach in weighted Sobolev spaces. Zbl 0938.35123Alliot, F.; Amrouche, C. 16 1999 Weak solutions for the exterior Stokes problem in weighted Sobolev spaces. Zbl 0965.35119Alliot, 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 1412.35212Acevedo, 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 1119.76015Amrouche, Chérif; Razafison, Ulrich 12 2007 Very weak, generalized and strong solutions to the Stokes system in the half-space. Zbl 1136.35067Amrouche, Chérif; Nečasová, Šárka; Raudin, Yves 12 2008 The Neumann problem in the half-space. Zbl 1019.35026Amrouche, Chérif 11 2002 Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition. Zbl 0979.35038Amrouche, 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 1190.49004Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. 11 2010 On a class of fluids grade 3. Zbl 0887.76007Amrouche, Cherif; Cioranescu, Doina 10 1997 Generalized Stokes problems. (Problèmes généralisés de Stokes.) Zbl 0790.35084Amrouche, Chérif; Girault, Vivette 10 1992 On Saint Venant’s compatibility conditions and Poincaré’s lemma. Zbl 1138.74005Amrouche, 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 1359.35143Al Baba, Hind; Amrouche, Chérif; Escobedo, Miguel 9 2017 The stationary Oseen equations in \({\mathbb{R}}^{3}\). An approach in weighted Sobolev spaces. Zbl 1119.76016Amrouche, Chérif; Razafison, Ulrich 9 2007 Vector and scalar potentials, Poincaré’s theorem and Korn’s inequality. Zbl 1135.35007Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. 9 2007 Stokes problem with several types of boundary conditions in an exterior domain. Zbl 1296.35045Amrouche, Cherif; Meslameni, Mohamed 9 2013 Some remarks on the boundary conditions in the theory of Navier-Stokes equations. Zbl 1293.35232Amrouche, Chérif; Penel, Patrick; Seloula, Nour 9 2013 On the Oseen problem in three-dimensional exterior domains. Zbl 1087.76023Amrouche, Chérif; Razafison, Ulrich 8 2006 Analyticity of the semigroup generated by the Stokes operator with Navier-type boundary conditions on \(L^p\)-spaces. Zbl 1349.35267Al Baba, Hind; Amrouche, Chérif; Escobedo, Miguel 7 2016 \(L^p\)-weighted theory for Navier-Stokes equations in exterior domains. Zbl 1179.35206Amrouche, Chérif; Nguyen, H. Hoang 7 2010 Boussinesq system with non-homogeneous boundary conditions. Zbl 1333.35175Acevedo, Paul; Amrouche, Chérif; Conca, Carlos 6 2016 Navier-Stokes equations with Navier boundary condition. Zbl 1352.76012Amrouche, Chérif; Rejaiba, Ahmed 6 2016 Exterior problems in the half-space for the Laplace operator in weighted Sobolev spaces. Zbl 1169.35011Amrouche, Chérif; Bonzom, Florian 6 2009 Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis. Zbl 1434.76027Amrouche, Cherif; Berselli, Luigi C.; Lewandowski, Roger; Nguyen, Dinh Duong 5 2020 Stokes equations and elliptic systems with nonstandard boundary conditions. Zbl 1230.35083Amrouche, 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 1186.35133Amrouche, Chérif; Rodríguez-Bellido, María Ángeles 5 2010 \(L^p\)-theory for the Navier-Stokes equations with pressure boundary conditions. Zbl 1264.35104Amrouche, 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 0894.35082Alliot, Frédéric; Amrouche, Chérif 4 1997 \(L^p\) theory for Boussinesq system with Dirichlet boundary conditions. Zbl 1409.35165Acevedo, 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 1213.35205Amrouche, 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 0801.46035Amrouche, 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 1437.35228Amrouche, C.; Conca, C.; Ghosh, A.; Ghosh, T. 4 2020 On the stationary Oseen equations in \(\mathbb R^3\). Zbl 1235.35216Amrouche, Chérif; Consiglieri, Luisa 4 2011 An \(L^p\) theory of linear elasticity in the half-space. Zbl 1303.35023Amrouche, Chérif; Dambrine, Marc; Raudin, Yves 4 2012 \(L^p\)-inequalities for scalar Oseen potential. Zbl 1134.35021Amrouche, 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 1038.35066Amrouche, Chérif; Razafison, Ulrich 4 2003 Nonhomogeneous biharmonic problem in the half-space, \(L^{p}\) theory and generalized solutions. Zbl 1142.35015Amrouche, Chérif; Raudin, Yves 4 2007 Stokes and Navier-Stokes equations with Navier boundary conditions. Zbl 1466.35281Acevedo Tapia, P.; Amrouche, C.; Conca, C.; Ghosh, A. 4 2021 The scalar Oseen operator \(-\Delta + {\partial }/{\partial x_1}\) in \(\mathbb R^2\). Zbl 1177.76080Amrouche, Chérif; Bouzit, Hamid 4 2008 Existence and regularity of solution for a model in magnetohydrodynamics. Zbl 1482.35166Amrouche, Chérif; Boukassa, Saliha 3 2020 Remarks on a lemma by Jacques-Louis Lions. (Ramarques sur un lemme de Jacques-Louis Lions.) Zbl 1304.35025Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel 3 2014 Linearized Navier-Stokes equations in \(\mathbb{R}^3\): an approach in weighted Sobolev spaces. Zbl 1302.35292Amrouche, Chérif; Meslameni, Mohamed; Nečasová, Šárka 3 2014 The Oseen and Navier-Stokes equations in a non-solenoidal framework. Zbl 1356.35154Amrouche, Chérif; Rodríguez-Bellido, María Ángeles 3 2016 Stationary Stokes equations with friction slip boundary conditions. Zbl 1360.35135Amrouche, Chérif; Rejaiba, Ahmed 3 2014 New formulations of linearized elasticity problems, based on extensions of Donati’s theorem. Zbl 1090.74007Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 3 2006 On the two and three dimensional Oseen potentials. Zbl 1215.35073Amrouche, 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 1213.35147Amrouche, Chérif; Nguyen, Huy Hoang 3 2011 Stokes and Navier-Stokes problems with Navier-type boundary condition in \(L^p\)-spaces. Zbl 1433.35216Al Baba, Hind; Amrouche, Chérif 2 2019 Inf sup conditions in nonreflexive Banach spaces. (Conditions “inf sup” dans les espaces de Banach non réflexifs.) Zbl 0965.35007Amrouche, Chérif; Ratsimahalo, Robert 2 2000 Very weak solutions for the Stokes problem in an exterior domain. Zbl 1302.35291Amrouche, Chérif; Meslameni, Mohamed 2 2013 Resolvent estimates for wave operators in Lipschitz domains. Zbl 1473.35115Ammari, Kaïs; Amrouche, Chérif 2 2021 \(L^p\)-theory for the time dependent Navier-Stokes problem with Navier-type boundary conditions. 2nd edition. Zbl 1351.35100Al Baba, Hind; Amrouche, Chérif; Escobedo, Miguel 2 2016 The time-dependent Stokes problem with Navier slip boundary conditions on \(L^p\)-spaces. Zbl 1358.35086Al Baba, Hind; Amrouche, Chérif; Rejaiba, Ahmed 2 2016 Elliptic problems with \(L^1\)-data in the half-space. Zbl 1253.35043Amrouche, Chérif; Nguyen Huy Hoang 2 2012 The biharmonic problem in the half-space with traces in weighted Sobolev spaces. Zbl 1170.35037Amrouche, Chérif; Raudin, Yves 2 2007 Biharmonic problem in exterior domains of \(\mathbb R^n\): An approach with weighted Sobolev spaces. Zbl 1129.35347Amrouche, Chérif; Fontes, Mathieu 2 2005 Weighted estimates for the Oseen problem in \(\mathbb R^3\). Zbl 1125.35074Amrouche, Chérif; Razafison, Ulrich 2 2006 Anisotropically weighted Poincaré-type inequalities: application to the Oseen problem. Zbl 1106.26019Amrouche, 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 0698.46035Amrouche, Chérif 2 1990 Vector potentials with mixed boundary conditions: application to the Stokes problem with pressure and Navier-type boundary conditions. Zbl 1465.35122Amrouche, 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 1193.35030Amrouche, Chérif; Raudin, Yves 2 2010 On the very weak solution for the Oseen and Navier-Stokes equations. Zbl 1198.35173Amrouche, 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 1197.35188Amrouche, Chérif; Nečasová, Šárka; Raudin, Yves 2 2009 On the existence of solutions in weighted Sobolev spaces for the exterior Oseen problem. Zbl 1083.35104Amrouche, Chérif; Razafison, Ulrich 2 2005 Exterior Stokes problem in the half-space. Zbl 1181.35165Amrouche, Chérif; Bonzom, Florian 2 2009 Very weak solutions for the stationary Stokes equations. Zbl 1186.35045Amrouche, Chérif; Rodríguez-Bellido, María Ángeles 2 2010 The stationary Oseen equations in an exterior domain: an approach in weighted Sobolev spaces. Zbl 1285.35062Amrouche, Chérif; Meslameni, Mohamed; Nečasová, Šárka 2 2014 Singular boundary conditions and regularity for the biharmonic problem in the half-space. Zbl 1149.35031Amrouche, Chérif; Raudin, Yves 1 2007 Shape sensitivity analysis of the Dirichlet Laplacian in a half-space. Zbl 1273.35100Amrouche, 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 0953.35110Alliot, 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 0793.46013Amrouche, 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 0765.76002Amrouche, C. 1 1992 On the curl operator and some characterizations of matrix fields in Lipschitz domains. Zbl 1458.35127Amrouche, Chérif; Bahouli, Bassem; Ouazar, El Hacène 1 2021 Navier-Stokes equations with periodic boundary conditions and pressure loss. Zbl 1126.76015Amrouche, Chérif; Batchi, Macaire; Batina, Jean 1 2007 Energy solutions for polymer aqueous solutions in two dimension. Zbl 1158.35403Amrouche, C.; Ouazar, E. H. 1 2008 Isotropically and anisotropically weighted Sobolev spaces for the Oseen equation. Zbl 1374.35300Amrouche, Chérif; Razafison, Ulrich 1 2010 Weighted Sobolev inequalities for the Riesz potentials and transforms. Zbl 1212.42022Amrouche, Chérif 1 2005 Semigroup theory for the Stokes operator with Navier boundary condition on \(L^p\) spaces. Zbl 1485.35315Amrouche, Chérif; Escobedo, Miguel; Ghosh, Amrita 1 2021 Stokes and Navier-Stokes equations with Navier boundary conditions. Zbl 1466.35281Acevedo Tapia, P.; Amrouche, C.; Conca, C.; Ghosh, A. 4 2021 Resolvent estimates for wave operators in Lipschitz domains. Zbl 1473.35115Ammari, Kaïs; Amrouche, Chérif 2 2021 Vector potentials with mixed boundary conditions: application to the Stokes problem with pressure and Navier-type boundary conditions. Zbl 1465.35122Amrouche, Chérif; Boussetouan, Imane 2 2021 On the curl operator and some characterizations of matrix fields in Lipschitz domains. Zbl 1458.35127Amrouche, Chérif; Bahouli, Bassem; Ouazar, El Hacène 1 2021 Semigroup theory for the Stokes operator with Navier boundary condition on \(L^p\) spaces. Zbl 1485.35315Amrouche, Chérif; Escobedo, Miguel; Ghosh, Amrita 1 2021 Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis. Zbl 1434.76027Amrouche, 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 1437.35228Amrouche, C.; Conca, C.; Ghosh, A.; Ghosh, T. 4 2020 Existence and regularity of solution for a model in magnetohydrodynamics. Zbl 1482.35166Amrouche, 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 1412.35212Acevedo, Paul; Amrouche, Chérif; Conca, Carlos; Ghosh, Amrita 15 2019 \(L^p\) theory for Boussinesq system with Dirichlet boundary conditions. Zbl 1409.35165Acevedo, Paul; Amrouche, Chérif; Conca, Carlos 4 2019 Stokes and Navier-Stokes problems with Navier-type boundary condition in \(L^p\)-spaces. Zbl 1433.35216Al Baba, Hind; Amrouche, Chérif 2 2019 Semi-group theory for the Stokes operator with Navier-type boundary conditions on \(L^{p}\)-spaces. Zbl 1359.35143Al 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 1349.35267Al Baba, Hind; Amrouche, Chérif; Escobedo, Miguel 7 2016 Boussinesq system with non-homogeneous boundary conditions. Zbl 1333.35175Acevedo, Paul; Amrouche, Chérif; Conca, Carlos 6 2016 Navier-Stokes equations with Navier boundary condition. Zbl 1352.76012Amrouche, Chérif; Rejaiba, Ahmed 6 2016 The Oseen and Navier-Stokes equations in a non-solenoidal framework. Zbl 1356.35154Amrouche, 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 1351.35100Al Baba, Hind; Amrouche, Chérif; Escobedo, Miguel 2 2016 The time-dependent Stokes problem with Navier slip boundary conditions on \(L^p\)-spaces. Zbl 1358.35086Al Baba, Hind; Amrouche, Chérif; Rejaiba, Ahmed 2 2016 On a lemma of Jacques-Louis Lions and its relation to other fundamental results. Zbl 1344.46027Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel 16 2015 \(L^p\)-theory for Stokes and Navier-Stokes equations with Navier boundary condition. Zbl 1285.35063Amrouche, Chérif; Rejaiba, Ahmed 33 2014 Remarks on a lemma by Jacques-Louis Lions. (Ramarques sur un lemme de Jacques-Louis Lions.) Zbl 1304.35025Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel 3 2014 Linearized Navier-Stokes equations in \(\mathbb{R}^3\): an approach in weighted Sobolev spaces. Zbl 1302.35292Amrouche, Chérif; Meslameni, Mohamed; Nečasová, Šárka 3 2014 Stationary Stokes equations with friction slip boundary conditions. Zbl 1360.35135Amrouche, Chérif; Rejaiba, Ahmed 3 2014 The stationary Oseen equations in an exterior domain: an approach in weighted Sobolev spaces. Zbl 1285.35062Amrouche, 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 1260.35101Amrouche, Chérif; Seloula, Nour El Houda 74 2013 Stokes problem with several types of boundary conditions in an exterior domain. Zbl 1296.35045Amrouche, Cherif; Meslameni, Mohamed 9 2013 Some remarks on the boundary conditions in the theory of Navier-Stokes equations. Zbl 1293.35232Amrouche, Chérif; Penel, Patrick; Seloula, Nour 9 2013 \(L^p\)-theory for the Navier-Stokes equations with pressure boundary conditions. Zbl 1264.35104Amrouche, Chérif; Seloula, Nour El Houda 5 2013 Very weak solutions for the Stokes problem in an exterior domain. Zbl 1302.35291Amrouche, Chérif; Meslameni, Mohamed 2 2013 An \(L^p\) theory of linear elasticity in the half-space. Zbl 1303.35023Amrouche, Chérif; Dambrine, Marc; Raudin, Yves 4 2012 Elliptic problems with \(L^1\)-data in the half-space. Zbl 1253.35043Amrouche, Chérif; Nguyen Huy Hoang 2 2012 Stationary Stokes, Oseen and Navier-Stokes equations with singular data. Zbl 1229.35164Amrouche, Chérif; Rodríguez-Bellido, M. Ángeles 41 2011 On the Stokes equations with the Navier-type boundary conditions. Zbl 1259.35092Amrouche, Cherif; El Houda Seloula, Nour 25 2011 \(L^p\)-theory for vector potentials and Sobolev’s inequalities for vector fields. Zbl 1219.35044Amrouche, Chérif; Seloula, Nour El Houda 21 2011 Stokes equations and elliptic systems with nonstandard boundary conditions. Zbl 1230.35083Amrouche, 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 1213.35205Amrouche, Chérif; Nguyen, Huy Hoang 4 2011 On the stationary Oseen equations in \(\mathbb R^3\). Zbl 1235.35216Amrouche, Chérif; Consiglieri, Luisa 4 2011 On the two and three dimensional Oseen potentials. Zbl 1215.35073Amrouche, 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 1213.35147Amrouche, 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 1190.49004Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. 11 2010 \(L^p\)-weighted theory for Navier-Stokes equations in exterior domains. Zbl 1179.35206Amrouche, 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 1186.35133Amrouche, 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 1193.35030Amrouche, Chérif; Raudin, Yves 2 2010 On the very weak solution for the Oseen and Navier-Stokes equations. Zbl 1198.35173Amrouche, Chérif; Rodríguez-Bellido, María Ángeles 2 2010 Very weak solutions for the stationary Stokes equations. Zbl 1186.35045Amrouche, Chérif; Rodríguez-Bellido, María Ángeles 2 2010 Isotropically and anisotropically weighted Sobolev spaces for the Oseen equation. Zbl 1374.35300Amrouche, Chérif; Razafison, Ulrich 1 2010 Exterior problems in the half-space for the Laplace operator in weighted Sobolev spaces. Zbl 1169.35011Amrouche, Chérif; Bonzom, Florian 6 2009 From strong to very weak solutions to the Stokes system with Navier boundary conditions in the half-space. Zbl 1197.35188Amrouche, Chérif; Nečasová, Šárka; Raudin, Yves 2 2009 Exterior Stokes problem in the half-space. Zbl 1181.35165Amrouche, Chérif; Bonzom, Florian 2 2009 Mixed exterior Laplace’s problem. Zbl 1132.35354Amrouche, Chérif; Bonzom, Florian 17 2008 Very weak, generalized and strong solutions to the Stokes system in the half-space. Zbl 1136.35067Amrouche, Chérif; Nečasová, Šárka; Raudin, Yves 12 2008 \(L^p\)-inequalities for scalar Oseen potential. Zbl 1134.35021Amrouche, Chérif; Bouzit, Hamid 4 2008 The scalar Oseen operator \(-\Delta + {\partial }/{\partial x_1}\) in \(\mathbb R^2\). Zbl 1177.76080Amrouche, Chérif; Bouzit, Hamid 4 2008 Energy solutions for polymer aqueous solutions in two dimension. Zbl 1158.35403Amrouche, C.; Ouazar, E. H. 1 2008 Weighted Sobolev spaces for a scalar model of the stationary Oseen equations in \(\mathbb{R}^{3}\). Zbl 1119.76015Amrouche, Chérif; Razafison, Ulrich 12 2007 The stationary Oseen equations in \({\mathbb{R}}^{3}\). An approach in weighted Sobolev spaces. Zbl 1119.76016Amrouche, Chérif; Razafison, Ulrich 9 2007 Vector and scalar potentials, Poincaré’s theorem and Korn’s inequality. Zbl 1135.35007Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. 9 2007 Nonhomogeneous biharmonic problem in the half-space, \(L^{p}\) theory and generalized solutions. Zbl 1142.35015Amrouche, Chérif; Raudin, Yves 4 2007 The biharmonic problem in the half-space with traces in weighted Sobolev spaces. Zbl 1170.35037Amrouche, Chérif; Raudin, Yves 2 2007 Singular boundary conditions and regularity for the biharmonic problem in the half-space. Zbl 1149.35031Amrouche, Chérif; Raudin, Yves 1 2007 Navier-Stokes equations with periodic boundary conditions and pressure loss. Zbl 1126.76015Amrouche, Chérif; Batchi, Macaire; Batina, Jean 1 2007 On the characterizations of matrix fields as linearized strain tensor fields. Zbl 1115.35131Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 42 2006 On Saint Venant’s compatibility conditions and Poincaré’s lemma. Zbl 1138.74005Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 9 2006 On the Oseen problem in three-dimensional exterior domains. Zbl 1087.76023Amrouche, Chérif; Razafison, Ulrich 8 2006 New formulations of linearized elasticity problems, based on extensions of Donati’s theorem. Zbl 1090.74007Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 3 2006 Weighted estimates for the Oseen problem in \(\mathbb R^3\). Zbl 1125.35074Amrouche, Chérif; Razafison, Ulrich 2 2006 Anisotropically weighted Poincaré-type inequalities: application to the Oseen problem. Zbl 1106.26019Amrouche, Chérif; Razafison, Ulrich 2 2006 Biharmonic problem in exterior domains of \(\mathbb R^n\): An approach with weighted Sobolev spaces. Zbl 1129.35347Amrouche, Chérif; Fontes, Mathieu 2 2005 On the existence of solutions in weighted Sobolev spaces for the exterior Oseen problem. Zbl 1083.35104Amrouche, Chérif; Razafison, Ulrich 2 2005 Weighted Sobolev inequalities for the Riesz potentials and transforms. Zbl 1212.42022Amrouche, Chérif 1 2005 Shape sensitivity analysis of the Dirichlet Laplacian in a half-space. Zbl 1273.35100Amrouche, 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 1038.35066Amrouche, Chérif; Razafison, Ulrich 4 2003 The Neumann problem in the half-space. Zbl 1019.35026Amrouche, Chérif 11 2002 Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition. Zbl 0979.35038Amrouche, Cherif; Nečasová, Šárka 11 2001 Pointwise decay of solutions and of higher derivatives to Navier-Stokes equations. Zbl 0986.35085Amrouche, Cherif; Girault, Vivette; Schonbek, Maria Elena; Schonbek, Tomas P. 20 2000 Weak solutions for the exterior Stokes problem in weighted Sobolev spaces. Zbl 0965.35119Alliot, F.; Amrouche, C. 15 2000 Inf sup conditions in nonreflexive Banach spaces. (Conditions “inf sup” dans les espaces de Banach non réflexifs.) Zbl 0965.35007Amrouche, Chérif; Ratsimahalo, Robert 2 2000 The Stokes problem in \({\mathbb{R}}^n\): An approach in weighted Sobolev spaces. Zbl 0938.35123Alliot, 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 0953.35110Alliot, Frédéric; Amrouche, Cherif 1 1999 Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094Amrouche, 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 0878.35029Amrouche, C.; Girault, V.; Giroire, J. 73 1997 On a class of fluids grade 3. Zbl 0887.76007Amrouche, 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 0894.35082Alliot, Frédéric; Amrouche, Chérif 4 1997 Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension. Zbl 0823.35140Amrouche, Chérif; Girault, Vivette 134 1994 Weighted Sobolev spaces for Laplace’s equation in \(\mathbb{R}^ n\). Zbl 0836.35038Amrouche, C.; Girault, V.; Giroire, J. 57 1994 Generalized Stokes problems. (Problèmes généralisés de Stokes.) Zbl 0790.35084Amrouche, 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 0801.46035Amrouche, 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 0793.46013Amrouche, 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 0765.76002Amrouche, C. 1 1992 On the existence and regularity of the solution of Stokes problem in arbitrary dimension. Zbl 0752.35047Amrouche, 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 0698.46035Amrouche, Chérif 2 1990 all cited Publications top 5 cited Publications 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. 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