## Bernard, J. M. L.

Compute Distance To:
 Author ID: bernard.j-m-l Published as: Bernard, J. M. L.; Bernard, J.-M. L.
 Documents Indexed: 31 Publications since 1961 Co-Authors: 2 Co-Authors with 5 Joint Publications 39 Co-Co-Authors

### Co-Authors

 25 single-authored 5 Lyalinov, Mikhail Anatolievich 1 Ouazar, El Hacène 1 Zhu, Ning Yan
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### Serials

 7 Mathématiques, Informatique et Sciences Humaines 4 Quarterly Journal of Mechanics and Applied Mathematics 3 Wave Motion 2 International Journal of Non-Linear Mechanics 2 Mathematical Methods in the Applied Sciences 2 Journal of Physics A: Mathematical and General 2 Communications on Applied Nonlinear Analysis 2 IEEE Transactions on Antennas and Propagation 2 Nonlinear Analysis. Real World Applications 1 IMA Journal of Applied Mathematics 1 Journal of Scientific Computing 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Chiffres, Revue de l’Association Française de Calcul et de Traitement de l’Information
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### Fields

 13 Fluid mechanics (76-XX) 12 Partial differential equations (35-XX) 10 Optics, electromagnetic theory (78-XX) 7 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

18 Publications have been cited 110 times in 37 Documents Cited by Year
Diffraction of scalar waves by an impedance cone of arbitrary cross-section. Zbl 1074.78516
Bernard, J. M. L.; Lyalinov, M. A.
2001
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
Electromagnetic scattering by a smooth convex impedance cone. Zbl 1115.78005
Bernard, J. M. L.; Lyalinov, M. A.
2004
Analytical-numerical calculation of diffraction coefficients for a circular impedance cone. Zbl 1369.78143
Bernard, J. M. L.; Lyalinov, Mikhail A.; Zhu, Ning Yan
2008
Weak and classical solutions of equations of motion for second grade fluids. Zbl 1108.76328
Bernard, J. M.
1998
Diffraction at skew incidence by an anisotropic impedance wedge in electromagnetism theory: a new class of canonical cases. Zbl 0952.78009
Bernard, J. M. L.
1998
A spectral approach for scattering by impedance polygons. Zbl 1112.78011
Bernard, J. M. L.
2006
The leading asymptotic term for the scattering diagram in the problem of diffraction by a narrow circular impedance cone. Zbl 0930.35169
Bernard, J. M. L.; Lyalinov, M. A.
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
Spectral domain solution and asymptotics for the diffraction by an impedance cone. Zbl 1002.78510
Bernard, J. M. L.; Lyalinov, M. A.
2001
Diffraction by a metallic wedge covered with a dielectric material. Zbl 0621.73028
Bernard, J.-M. L.
1987
Stationary problem of second-grade fluids in three dimensions: Existence, uniqueness and regularity. Zbl 0926.35117
Bernard, J. M.
1999
Stationary problem of third-grade fluids in two and three dimensions: existence and uniqueness. Zbl 1349.35286
Bernard, J. M.; Ouazar, E. H.
2005
Scattering by a three-part impedance plane: a new spectral approach. Zbl 1112.74034
Bernard, J. M. L.
2005
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
On the expression of the field scattered by a multimode plane. Zbl 1244.76107
Bernard, J. M. L.
2010
Conforming and nonconforming finite element methods for solving the Darcy’s equations. Zbl 1103.76030
Bernard, J. M.
2006
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
On the expression of the field scattered by a multimode plane. Zbl 1244.76107
Bernard, J. M. L.
2010
Analytical-numerical calculation of diffraction coefficients for a circular impedance cone. Zbl 1369.78143
Bernard, J. M. L.; Lyalinov, Mikhail A.; Zhu, Ning Yan
2008
A spectral approach for scattering by impedance polygons. Zbl 1112.78011
Bernard, J. M. L.
2006
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
Scattering by a three-part impedance plane: a new spectral approach. Zbl 1112.74034
Bernard, J. M. L.
2005
Electromagnetic scattering by a smooth convex impedance cone. Zbl 1115.78005
Bernard, J. M. L.; Lyalinov, M. A.
2004
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
Diffraction of scalar waves by an impedance cone of arbitrary cross-section. Zbl 1074.78516
Bernard, J. M. L.; Lyalinov, M. A.
2001
Spectral domain solution and asymptotics for the diffraction by an impedance cone. Zbl 1002.78510
Bernard, J. M. L.; Lyalinov, M. A.
2001
The leading asymptotic term for the scattering diagram in the problem of diffraction by a narrow circular impedance cone. Zbl 0930.35169
Bernard, J. M. L.; Lyalinov, M. A.
1999
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 second grade fluids. Zbl 1108.76328
Bernard, J. M.
1998
Diffraction at skew incidence by an anisotropic impedance wedge in electromagnetism theory: a new class of canonical cases. Zbl 0952.78009
Bernard, J. M. L.
1998
Diffraction by a metallic wedge covered with a dielectric material. Zbl 0621.73028
Bernard, J.-M. L.
1987
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### Cited by 35 Authors

 20 Lyalinov, Mikhail Anatolievich 4 Zhu, Ning Yan 2 Abrahams, I. David 2 Bernard, J. M. L. 2 Gutiérrez-Tovar, Y. E. 2 Hoang, Pham Van 2 Méndez Pérez, José M. R. 2 Merzon, Anatolĭ E. 2 Nguyen Thanh Hong 2 Polyanskaya, Svetlana V. 2 Senior, Thomas B. A. 1 Assier, Raphaël C. 1 Bogy, David B. 1 Budaev, Bair V. 1 de la Paz Méndez, José Eligio 1 Falkovich, Gregory 1 Fokas, Athanassios S. 1 Gawȩdzki, Krzysztof 1 Guerra, Manuel 1 Idemen, Mithat 1 Lawrie, Jane B. 1 Legault, Stéphane R. 1 Navarrete, Anel Esquivel 1 Nethercote, Matthew A. 1 Nguyen Xuan Thao 1 Sintsova, Ksenia 1 Sousa, Rúben 1 Spence, Euan A. 1 Szmytkowski, Radosław 1 Tuan, Trinh 1 Vardapetyan, L. G. 1 Vergassola, Massimo 1 Vu Kim Tuan 1 Yakubovich, Semyon B. 1 Zhevandrov, Peter N.
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### Cited in 13 Serials

 13 Wave Motion 8 Journal of Mathematical Sciences (New York) 2 Journal of Engineering Mathematics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Russian Journal of Mathematical Physics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Reviews of Modern Physics 1 Acta Mathematica Vietnamica 1 Mathematische Nachrichten 1 Acta Applicandae Mathematicae 1 St. Petersburg Mathematical Journal 1 Integral Transforms and Special Functions
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### Cited in 17 Fields

 18 Partial differential equations (35-XX) 14 Optics, electromagnetic theory (78-XX) 13 Fluid mechanics (76-XX) 5 Integral transforms, operational calculus (44-XX) 4 Special functions (33-XX) 4 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX)