## Bernard, Jean-Marie Emmanuel

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 Author ID: bernard.jean-marie-emmanuel Published as: Bernard, Jean-Marie; Bernard, Jean-Marie Emmanuel; Bernard, Jean Marie
 Documents Indexed: 25 Publications since 1994 Co-Authors: 1 Co-Author with 1 Joint Publication

### Co-Authors

 22 single-authored 1 Cantner, Uwe 1 Ouazar, El Hacène 1 Quazar, El Hacène 1 Westermann, Georg
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### Serials

 7 Mathématiques, Informatique et Sciences Humaines 3 Mathematical Methods in the Applied Sciences 2 International Journal of Non-Linear Mechanics 2 SIAM Journal on Mathematical Analysis 2 Communications on Applied Nonlinear Analysis 2 Nonlinear Analysis. Real World Applications 1 Chinese Annals of Mathematics. Series B 1 Journal of Scientific Computing 1 Annals of Operations Research 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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### Fields

 15 Fluid mechanics (76-XX) 14 Partial differential equations (35-XX) 7 Computer science (68-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

13 Publications have been cited 63 times in 18 Documents Cited by Year
Density results in Sobolev spaces whose elements vanish on a part of the boundary. Zbl 1259.41028
Bernard, Jean-Marie Emmanuel
2011
Non-standard Stokes and Navier-Stokes problems: existence and regularity in stationary case. Zbl 1027.35091
Bernard, J. M.
2002
Time-dependent Stokes and Navier-Stokes problems with boundary conditions involving pressure, existence and regularity. Zbl 1037.35053
Bernard, J. M.
2003
Weak and classical solutions of equations of motion for second grade fluids. Zbl 1108.76328
Bernard, J. M.
1998
Global variational and classical solutions of fluids of grade two. (Solutions globales variationnelles et classiques des fluides de grade deux.) Zbl 0921.76006
Bernard, Jean-Marie
1998
Stationary problem of second-grade fluids in three dimensions: Existence, uniqueness and regularity. Zbl 0926.35117
Bernard, J. M.
1999
Steady transport equation in the case where the normal component of the velocity does not vanish on the boundary. Zbl 1253.35030
Bernard, J.-M.
2012
Stationary problem of third-grade fluids in two and three dimensions: existence and uniqueness. Zbl 1349.35286
Bernard, J. M.; Ouazar, E. H.
2005
Weak and classical solutions of equations of motion for third grade fluids. Zbl 0990.76003
Bernard, Jean Marie
1999
Conforming and nonconforming finite element methods for solving the Darcy’s equations. Zbl 1103.76030
Bernard, J. M.
2006
Problem of second grade fluids in convex polyhedrons. Zbl 1251.35078
Bernard, Jean-Marie
2012
Fully nonhomogeneous problem of two-dimensional second grade fluids. Zbl 1405.35155
Bernard, Jean-Marie
2018
Solutions in $$H^1$$ of the steady transport equation in a bounded polygon with a fully non-homogeneous velocity. Zbl 1368.35067
Bernard, J. M.
2017
Fully nonhomogeneous problem of two-dimensional second grade fluids. Zbl 1405.35155
Bernard, Jean-Marie
2018
Solutions in $$H^1$$ of the steady transport equation in a bounded polygon with a fully non-homogeneous velocity. Zbl 1368.35067
Bernard, J. M.
2017
Steady transport equation in the case where the normal component of the velocity does not vanish on the boundary. Zbl 1253.35030
Bernard, J.-M.
2012
Problem of second grade fluids in convex polyhedrons. Zbl 1251.35078
Bernard, Jean-Marie
2012
Density results in Sobolev spaces whose elements vanish on a part of the boundary. Zbl 1259.41028
Bernard, Jean-Marie Emmanuel
2011
Conforming and nonconforming finite element methods for solving the Darcy’s equations. Zbl 1103.76030
Bernard, J. M.
2006
Stationary problem of third-grade fluids in two and three dimensions: existence and uniqueness. Zbl 1349.35286
Bernard, J. M.; Ouazar, E. H.
2005
Time-dependent Stokes and Navier-Stokes problems with boundary conditions involving pressure, existence and regularity. Zbl 1037.35053
Bernard, J. M.
2003
Non-standard Stokes and Navier-Stokes problems: existence and regularity in stationary case. Zbl 1027.35091
Bernard, J. M.
2002
Stationary problem of second-grade fluids in three dimensions: Existence, uniqueness and regularity. Zbl 0926.35117
Bernard, J. M.
1999
Weak and classical solutions of equations of motion for third grade fluids. Zbl 0990.76003
Bernard, Jean Marie
1999
Weak and classical solutions of equations of motion for second grade fluids. Zbl 1108.76328
Bernard, J. M.
1998
Global variational and classical solutions of fluids of grade two. (Solutions globales variationnelles et classiques des fluides de grade deux.) Zbl 0921.76006
Bernard, Jean-Marie
1998
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### Cited by 42 Authors

 3 Bernardi, Christine 2 Felli, Veronica 2 Heinemann, Christian 2 Kraus, Christiane 2 Noris, Benedetta 2 Ognibene, Roberto 2 Yakoubi, Driss 1 Abdellatif, Nahla 1 Albanez, Débora A. F. 1 Baubec, Margarit 1 Ben Belgacem, Faker 1 Benvenutti, Maicon J. 1 Chacón Rebollo, Tomás 1 Csató, Gyula 1 Eberlein, Hannes 1 Gahn, Markus 1 Gómez Mármol, Macarena 1 Hecht, Frédéric 1 Hintermüller, Michael 1 Jelassi, Faten 1 Kneuss, Olivier 1 Lochner, Tanja 1 Maarouf, Sarra 1 Mint Brahim, Maimouna 1 Nawaz, Rab 1 Neuss-Radu, Maria 1 Ngo, Van-Sang 1 Peter, Malte Andreas 1 Pollock, Sara 1 Popescu, H. 1 Rajendran, Dhanya 1 Rasheed, Amer 1 Raugel, Geneviève 1 Rösel, S. 1 Rubino, Samuele 1 Růžička, Michael 1 Sánchez Muñoz, Isabel 1 Scott, Larkin Ridgway 1 Shah, Shaista Qaim 1 Sireteanu, Tudor 1 Touihri, Moncef 1 Wahab, Abdul Fatah
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### Cited in 17 Serials

 2 Journal of Scientific Computing 1 Journal of Mathematical Analysis and Applications 1 Calcolo 1 Journal of Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Journal of Mechanics. A. Solids 1 Journal of Dynamical and Control Systems 1 Multiscale Modeling & Simulation 1 Advances in Difference Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Pure and Applied Mathematics 1 Evolution Equations and Control Theory
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### Cited in 11 Fields

 14 Partial differential equations (35-XX) 8 Fluid mechanics (76-XX) 6 Mechanics of deformable solids (74-XX) 3 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)