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Author ID: benachour.said Recent zbMATH articles by "Benachour, Said"
Published as: Benachour, Said; Benachour, Saïd; Benachour, S.
Documents Indexed: 39 Publications since 1973, including 1 Book
Co-Authors: 26 Co-Authors with 31 Joint Publications
921 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 340 times in 211 Documents Cited by Year
Nonlinear self-stabilizing processes. I: Existence, invariant probability, propagation of chaos. Zbl 0932.60063
Benachour, S.; Roynette, B.; Talay, D.; Vallois, P.
34
1998
Global solutions to viscous Hamilton-Jacobi equations with irregular initial data. Zbl 0935.35033
Benachour, Said; Laurençot, Philippe
30
1999
Asymptotic profiles of solutions to viscous Hamilton–Jacobi equations. Zbl 1064.35075
Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe
25
2004
Domaine d’analyticite des solutions de l’équation d’Euler dans un ouvert de \(R^n\). Zbl 0366.35022
Bardos, C.; Benachour, S.
25
1977
Nonlinear self-stabilizing processes. II: Convergence to invariant probability. Zbl 0932.60064
Benachour, S.; Roynette, B.; Vallois, P.
22
1998
Extinction and non-extinction for viscous Hamilton-Jacobi equations in \(\mathbb{R}^N\). Zbl 1046.35053
Benachour, S.; Laurençot, Ph.; Schmitt, D.; Souplet, Ph.
18
2002
Analyticite des solutions périodiques de l’équation d’Euler en deux dimensions. Zbl 0329.35012
Bardos, Claude; Benachour, Said; Zerner, Martin
18
1976
Asymptotic estimates of solutions of \(u_ t - \frac12\Delta u =-|\nabla u|\) in \(\mathbb{R}_ + \times \mathbb{R}^ d,\quad d\geq 2\). Zbl 0869.35052
Benachour, S.; Roynette, B.; Vallois, P.
17
1997
Processes associated to the porous medium equation. (Processus associés à l’équation des milieux poreux.) Zbl 0892.60071
Benachour, S.; Chassaing, P.; Roynette, B.; Vallois, P.
14
1996
Extinction and decay estimates for viscous Hamilton-Jacobi equations in \({\mathbb{R}}^N\). Zbl 1001.35007
Benachour, Said; Laurençot, Philippe; Schmitt, Didier
13
2002
Decay estimates for a viscous Hamilton-Jacobi equation with homogeneous Dirichlet boundary conditions. Zbl 1133.35016
Benachour, Saïd; Dăbuleanu-Hapca, Simona; Laurençot, Philippe
12
2007
Analyticite des solutions périodiques de l’équation d’Euler en trois dimensions. Zbl 0334.35005
Benachour, Said
11
1976
Finite-time singularity versus global regularity for hyper-viscous Hamilton-Jacobi-like equations. Zbl 1038.35089
Bellout, Hamid; Benachour, Said; Titi, Edriss S.
11
2003
Very singular solutions to a nonlinear parabolic equation with absorption. I: Existence. Zbl 0973.35100
Benachour, Said; Laurençot, Philippe
10
2001
Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky equation. Zbl 1342.35140
Benachour, Said; Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
9
2014
The mixed Cauchy-Dirichlet problem for a viscous Hamilton-Jacobi equation. Zbl 1101.35043
Benachour, Said; Dabuleanu, Simona
9
2003
Solutions fondamentales de \(u_ t-{1\over 2}u_{xx}\). Zbl 0868.35048
Benachour, S.; Roynette, B.; Vallois, P.
8
1996
Explicit solutions of some fourth order partial differential equations via iterated Brownian motion. Zbl 0945.60083
Benachour, S.; Roynette, B.; Vallois, P.
6
1999
Global classical solutions for reaction-diffusion systems with nonlinearities of exponential growth. Zbl 1250.35119
Rebiai, Belgacem; Benachour, Saïd
6
2010
Global existence for the Vlasov-Darwin system in \(\mathbb R^3\) for small initial data. Zbl 1024.35027
Benachour, Saïd; Filbet, Francis; Laurençot, Philippe; Sonnendrücker, Eric
6
2003
Analyticite des solutions des équations d’Euler. Zbl 0421.35073
Benachour, Said
6
1979
Analyticité des solutions des équations de Vlasov-Poisson. (Analyticity of solutions of the Vlasov-Poisson equations). Zbl 0702.35042
Benachour, Said
6
1989
Branching process associated with 2D-Navier-Stokes equation. Zbl 1013.35063
Benachour, Saïd; Roynette, Bernard; Vallois, Pierre
5
2001
Sharp decay estimates and vanishing viscosity for diffusive Hamilton-Jacobi equations. Zbl 1175.35031
Benachour, Saïd; Ben-Artzi, Matania; Laurençot, Philippe
5
2009
Very singular solutions to a nonlinear parabolic equation with absorption. II: Uniqueness. Zbl 1063.35074
Benachour, Saïd; Koch, Herbert; Laurençot, Philippe
3
2004
Régularité des solutions de l’équation des milieux poreux en une dimension d’espace. (Regularity of solutions of the equation of porous medium in one space dimension). Zbl 0587.35050
Benachour, Said; Moulay, Mohammed-Said
3
1984
Large time behavior for a viscous Hamilton-Jacobi equation with Neumann boundary condition. Zbl 1078.35055
Benachour, Saïd; Dabuleanu, Simona
2
2005
Asymptotic profiles of solutions to convection-diffusion equations. Zbl 1036.35030
Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe
2
2004
Large time behavior for the fast diffusion equation with critical absorption. Zbl 1383.35111
Benachour, Said; Iagar, Razvan Gabriel; Laurençot, Philippe
1
2016
Very singular solutions to a nonlinear parabolic equation with absorption. (Solutions très singulières d’une équation parabolique non linéaire avec absorption.) Zbl 0926.35057
Benachour, Said; Laurençot, Philippe
1
1999
Decay estimates for “anisotropic” viscous Hamilton-Jacobi equations in \(\mathbb{R}^N\). Zbl 1029.35037
Benachour, Saïd; Laurençot, Philippe
1
2003
Régularité des solutions d’un opérateur elliptique dégénérée. Zbl 0262.35011
Benachour, Said
1
1973
Large time behavior for the fast diffusion equation with critical absorption. Zbl 1383.35111
Benachour, Said; Iagar, Razvan Gabriel; Laurençot, Philippe
1
2016
Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky equation. Zbl 1342.35140
Benachour, Said; Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
9
2014
Global classical solutions for reaction-diffusion systems with nonlinearities of exponential growth. Zbl 1250.35119
Rebiai, Belgacem; Benachour, Saïd
6
2010
Sharp decay estimates and vanishing viscosity for diffusive Hamilton-Jacobi equations. Zbl 1175.35031
Benachour, Saïd; Ben-Artzi, Matania; Laurençot, Philippe
5
2009
Decay estimates for a viscous Hamilton-Jacobi equation with homogeneous Dirichlet boundary conditions. Zbl 1133.35016
Benachour, Saïd; Dăbuleanu-Hapca, Simona; Laurençot, Philippe
12
2007
Large time behavior for a viscous Hamilton-Jacobi equation with Neumann boundary condition. Zbl 1078.35055
Benachour, Saïd; Dabuleanu, Simona
2
2005
Asymptotic profiles of solutions to viscous Hamilton–Jacobi equations. Zbl 1064.35075
Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe
25
2004
Very singular solutions to a nonlinear parabolic equation with absorption. II: Uniqueness. Zbl 1063.35074
Benachour, Saïd; Koch, Herbert; Laurençot, Philippe
3
2004
Asymptotic profiles of solutions to convection-diffusion equations. Zbl 1036.35030
Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe
2
2004
Finite-time singularity versus global regularity for hyper-viscous Hamilton-Jacobi-like equations. Zbl 1038.35089
Bellout, Hamid; Benachour, Said; Titi, Edriss S.
11
2003
The mixed Cauchy-Dirichlet problem for a viscous Hamilton-Jacobi equation. Zbl 1101.35043
Benachour, Said; Dabuleanu, Simona
9
2003
Global existence for the Vlasov-Darwin system in \(\mathbb R^3\) for small initial data. Zbl 1024.35027
Benachour, Saïd; Filbet, Francis; Laurençot, Philippe; Sonnendrücker, Eric
6
2003
Decay estimates for “anisotropic” viscous Hamilton-Jacobi equations in \(\mathbb{R}^N\). Zbl 1029.35037
Benachour, Saïd; Laurençot, Philippe
1
2003
Extinction and non-extinction for viscous Hamilton-Jacobi equations in \(\mathbb{R}^N\). Zbl 1046.35053
Benachour, S.; Laurençot, Ph.; Schmitt, D.; Souplet, Ph.
18
2002
Extinction and decay estimates for viscous Hamilton-Jacobi equations in \({\mathbb{R}}^N\). Zbl 1001.35007
Benachour, Said; Laurençot, Philippe; Schmitt, Didier
13
2002
Very singular solutions to a nonlinear parabolic equation with absorption. I: Existence. Zbl 0973.35100
Benachour, Said; Laurençot, Philippe
10
2001
Branching process associated with 2D-Navier-Stokes equation. Zbl 1013.35063
Benachour, Saïd; Roynette, Bernard; Vallois, Pierre
5
2001
Global solutions to viscous Hamilton-Jacobi equations with irregular initial data. Zbl 0935.35033
Benachour, Said; Laurençot, Philippe
30
1999
Explicit solutions of some fourth order partial differential equations via iterated Brownian motion. Zbl 0945.60083
Benachour, S.; Roynette, B.; Vallois, P.
6
1999
Very singular solutions to a nonlinear parabolic equation with absorption. (Solutions très singulières d’une équation parabolique non linéaire avec absorption.) Zbl 0926.35057
Benachour, Said; Laurençot, Philippe
1
1999
Nonlinear self-stabilizing processes. I: Existence, invariant probability, propagation of chaos. Zbl 0932.60063
Benachour, S.; Roynette, B.; Talay, D.; Vallois, P.
34
1998
Nonlinear self-stabilizing processes. II: Convergence to invariant probability. Zbl 0932.60064
Benachour, S.; Roynette, B.; Vallois, P.
22
1998
Asymptotic estimates of solutions of \(u_ t - \frac12\Delta u =-|\nabla u|\) in \(\mathbb{R}_ + \times \mathbb{R}^ d,\quad d\geq 2\). Zbl 0869.35052
Benachour, S.; Roynette, B.; Vallois, P.
17
1997
Processes associated to the porous medium equation. (Processus associés à l’équation des milieux poreux.) Zbl 0892.60071
Benachour, S.; Chassaing, P.; Roynette, B.; Vallois, P.
14
1996
Solutions fondamentales de \(u_ t-{1\over 2}u_{xx}\). Zbl 0868.35048
Benachour, S.; Roynette, B.; Vallois, P.
8
1996
Analyticité des solutions des équations de Vlasov-Poisson. (Analyticity of solutions of the Vlasov-Poisson equations). Zbl 0702.35042
Benachour, Said
6
1989
Régularité des solutions de l’équation des milieux poreux en une dimension d’espace. (Regularity of solutions of the equation of porous medium in one space dimension). Zbl 0587.35050
Benachour, Said; Moulay, Mohammed-Said
3
1984
Analyticite des solutions des équations d’Euler. Zbl 0421.35073
Benachour, Said
6
1979
Domaine d’analyticite des solutions de l’équation d’Euler dans un ouvert de \(R^n\). Zbl 0366.35022
Bardos, C.; Benachour, S.
25
1977
Analyticite des solutions périodiques de l’équation d’Euler en deux dimensions. Zbl 0329.35012
Bardos, Claude; Benachour, Said; Zerner, Martin
18
1976
Analyticite des solutions périodiques de l’équation d’Euler en trois dimensions. Zbl 0334.35005
Benachour, Said
11
1976
Régularité des solutions d’un opérateur elliptique dégénérée. Zbl 0262.35011
Benachour, Said
1
1973
all top 5

Cited by 288 Authors

15 Laurençot, Philippe
12 Benachour, Said
9 Kukavica, Igor
9 Tugaut, Julian
8 Souplet, Philippe
6 Iagar, Razvan Gabriel
6 Röckner, Michael
6 Vicol, Vlad C.
5 Mu, Chunlai
5 Orsingher, Enzo
5 Russo, Francesco
4 Barbu, Viorel
4 Frisch, Uriel
4 Malrieu, Florent
4 Mazzucato, Anna L.
4 Roynette, Bernard
4 Ziane, Mohammed
3 Ambrose, David M.
3 Ben-Artzi, Matania
3 Bolley, François
3 De Gregorio, Alessandro
3 Feng, Yuanyuan
3 Jourdain, Benjamin
3 Karch, Grzegorz
3 Liu, Dengming
3 Matsumoto, Takeshi
3 Pauls, Walter
3 Pokhozhaev, Stanislav I.
3 Shaposhnikov, Stanislav V.
3 Stinner, Christian
3 Vallois, Pierre
2 Ahmed, Iftikhar
2 Alinhac, Serge
2 Amour, Laurent
2 Bec, Jérémie
2 Bedrossian, Jacob
2 Besse, Nicolas
2 Bogachev, Vladimir Igorevich
2 Caflisch, Russel E.
2 Çamliyurt, Güher
2 Del Moral, Pierre
2 Deng, Lihua
2 D’Ovidio, Mirko
2 Galaktionov, Victor Aleksandrovich
2 Genon-Catalot, Valentine
2 Gilding, Brian H.
2 Gladkov, Alexander L’vovich
2 Grujić, Zoran
2 Guedda, Mohammed
2 Guillin, Arnaud
2 Herrmann, Samuel
2 Ishige, Kazuhiro
2 Jabin, Pierre-Emmanuel
2 Kalantarov, Varga K.
2 Kawakami, Tatsuki
2 Kersner, Robert
2 Laamri, El Haj
2 Laredo, Catherine F.
2 Li, Xiuting
2 Magliocca, Martina
2 Mahalov, Alex
2 Masmoudi, Nader
2 Métivier, Guy
2 Mitidieri, Enzo Luigi
2 Mouhot, Clément
2 Nguyen, Toan Trong
2 Nicolaenko, Basil
2 Pierre, Michel
2 Porretta, Alessio
2 Raoux, Thierry
2 Shang, Haifeng
2 Shi, Peihu
2 Tedeev, Anatoliĭ Fedorovich
2 Temam, Roger Meyer
2 Titi, Edriss Saleh
2 Villani, Cédric
2 Wang, Mingxin
2 Zelik, Sergey V.
2 Zheng, Pan
1 Abdellaoui, Boumediene
1 Abdellaoui, Mohammed Amin
1 Abdelmalek, Salem
1 Addala, Lanoir
1 Agueh, Martial
1 Ahmad, Bashir
1 Alaa, Noureddine
1 Allouba, Hassan
1 Al-saedi, Ahmed Eid Salem
1 Arnaudon, Marc
1 Arrieta, José M.
1 Attar, Ahmed
1 Attouchi, Amal
1 Babin, A.
1 Babin, Anatoli V.
1 Băleanu, Dumitru I.
1 Bank, Miriam
1 Bardos, Claude Williams
1 Barles, Guy
1 Bartier, Jean-Philippe
1 Bartuccelli, Michele V.
...and 188 more Authors
all top 5

Cited in 100 Serials

11 Journal of Differential Equations
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Stochastic Processes and their Applications
7 Physica D
6 Archive for Rational Mechanics and Analysis
6 The Annals of Probability
6 The Annals of Applied Probability
6 Journal of Dynamics and Differential Equations
5 Journal of Functional Analysis
5 Probability Theory and Related Fields
5 Communications in Partial Differential Equations
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Communications in Mathematical Physics
4 Journal of Mathematical Analysis and Applications
4 Journal of Mathematical Physics
4 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Journal of Mathematical Fluid Mechanics
3 Journal d’Analyse Mathématique
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Journal of Theoretical Probability
3 Journal of Evolution Equations
2 Computers & Mathematics with Applications
2 Journal of Computational Physics
2 Inventiones Mathematicae
2 Stochastic Analysis and Applications
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Advanced Nonlinear Studies
2 Journal of Applied Mathematics and Computing
2 SIAM Journal on Applied Dynamical Systems
2 Journal of Hyperbolic Differential Equations
2 Boundary Value Problems
2 Modern Stochastics. Theory and Applications
2 SN Partial Differential Equations and Applications
1 Applicable Analysis
1 Geophysical and Astrophysical Fluid Dynamics
1 Israel Journal of Mathematics
1 Journal of the Franklin Institute
1 Journal of Statistical Physics
1 Moscow University Mathematics Bulletin
1 Rocky Mountain Journal of Mathematics
1 Theory of Probability and its Applications
1 Acta Mathematica
1 Advances in Mathematics
1 Applied Mathematics and Optimization
1 Publications Mathématiques
1 Journal of Soviet Mathematics
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Michigan Mathematical Journal
1 Quarterly of Applied Mathematics
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Bulletin of the Korean Mathematical Society
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
1 Journal of Applied Mathematics and Stochastic Analysis
1 SIAM Journal on Mathematical Analysis
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Journal of Nonlinear Science
1 Calculus of Variations and Partial Differential Equations
1 Theory of Probability and Mathematical Statistics
1 Annales Mathématiques Blaise Pascal
1 Selecta Mathematica. New Series
1 Electronic Journal of Probability
1 Electronic Communications in Probability
1 Doklady Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Nonlinear Dynamics
1 Abstract and Applied Analysis
1 Novi Sad Journal of Mathematics
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 International Journal of Applied Mathematics and Computer Science
1 Stochastics and Dynamics
1 Milan Journal of Mathematics
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Mediterranean Journal of Mathematics
1 Stochastics
1 Complex Variables and Elliptic Equations
1 Proceedings of the Steklov Institute of Mathematics
1 ALEA. Latin American Journal of Probability and Mathematical Statistics
1 Electronic Journal of Statistics
1 Discrete and Continuous Dynamical Systems. Series S
1 Kinetic and Related Models
1 International Journal of Differential Equations
1 Science China. Mathematics
1 Journal of Pseudo-Differential Operators and Applications
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 Journal of Function Spaces
1 Annals of PDE
1 Open Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Proceedings of the American Mathematical Society. Series B

Citations by Year