Edit Profile (opens in new tab) Benachour, Said Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 8 single-authored 13 Laurençot, Philippe 8 Roynette, Bernard 8 Vallois, Pierre 2 Bardos, Claude Williams 2 Dabuleanu, Simona 2 Karch, Grzegorz 2 Rebiai, Belgacem 2 Schmitt, Didier 1 Bellout, Hamid 1 Ben-Artzi, Matania 1 Chassaing, Philippe 1 Dăbuleanu-Hapca, Simona 1 Filbet, Francis 1 Iagar, Razvan Gabriel 1 Koch, Herbert 1 Kukavica, Igor 1 Le Roux, Marie-Noelle 1 Leroux, Alain-Yves 1 Moulay, Mohammed-Said 1 Rusin, Walter M. 1 Sonnendrücker, Eric 1 Souplet, Philippe 1 Talay, Denis 1 Titi, Edriss Saleh 1 Zerner, Martin 1 Ziane, Mohammed all top 5 Serials 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Differential Equations 2 Asymptotic Analysis 2 Stochastic Processes and their Applications 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Advances in Differential Equations 2 Journal of Evolution Equations 1 Archive for Rational Mechanics and Analysis 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Journal of Functional Analysis 1 Proceedings of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Dynamics and Differential Equations 1 Novi Sad Journal of Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris all top 5 Fields 37 Partial differential equations (35-XX) 6 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications 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 0932.60063Benachour, S.; Roynette, B.; Talay, D.; Vallois, P. 34 1998 Global solutions to viscous Hamilton-Jacobi equations with irregular initial data. Zbl 0935.35033Benachour, Said; Laurençot, Philippe 30 1999 Asymptotic profiles of solutions to viscous Hamilton–Jacobi equations. Zbl 1064.35075Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe 25 2004 Domaine d’analyticite des solutions de l’équation d’Euler dans un ouvert de \(R^n\). Zbl 0366.35022Bardos, C.; Benachour, S. 25 1977 Nonlinear self-stabilizing processes. II: Convergence to invariant probability. Zbl 0932.60064Benachour, S.; Roynette, B.; Vallois, P. 22 1998 Extinction and non-extinction for viscous Hamilton-Jacobi equations in \(\mathbb{R}^N\). Zbl 1046.35053Benachour, S.; Laurençot, Ph.; Schmitt, D.; Souplet, Ph. 18 2002 Analyticite des solutions périodiques de l’équation d’Euler en deux dimensions. Zbl 0329.35012Bardos, 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 0869.35052Benachour, S.; Roynette, B.; Vallois, P. 17 1997 Processes associated to the porous medium equation. (Processus associés à l’équation des milieux poreux.) Zbl 0892.60071Benachour, S.; Chassaing, P.; Roynette, B.; Vallois, P. 14 1996 Extinction and decay estimates for viscous Hamilton-Jacobi equations in \({\mathbb{R}}^N\). Zbl 1001.35007Benachour, Said; Laurençot, Philippe; Schmitt, Didier 13 2002 Decay estimates for a viscous Hamilton-Jacobi equation with homogeneous Dirichlet boundary conditions. Zbl 1133.35016Benachour, Saïd; Dăbuleanu-Hapca, Simona; Laurençot, Philippe 12 2007 Analyticite des solutions périodiques de l’équation d’Euler en trois dimensions. Zbl 0334.35005Benachour, Said 11 1976 Finite-time singularity versus global regularity for hyper-viscous Hamilton-Jacobi-like equations. Zbl 1038.35089Bellout, Hamid; Benachour, Said; Titi, Edriss S. 11 2003 Very singular solutions to a nonlinear parabolic equation with absorption. I: Existence. Zbl 0973.35100Benachour, Said; Laurençot, Philippe 10 2001 Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky equation. Zbl 1342.35140Benachour, Said; Kukavica, Igor; Rusin, Walter; Ziane, Mohammed 9 2014 The mixed Cauchy-Dirichlet problem for a viscous Hamilton-Jacobi equation. Zbl 1101.35043Benachour, Said; Dabuleanu, Simona 9 2003 Solutions fondamentales de \(u_ t-{1\over 2}u_{xx}\). Zbl 0868.35048Benachour, S.; Roynette, B.; Vallois, P. 8 1996 Explicit solutions of some fourth order partial differential equations via iterated Brownian motion. Zbl 0945.60083Benachour, S.; Roynette, B.; Vallois, P. 6 1999 Global classical solutions for reaction-diffusion systems with nonlinearities of exponential growth. Zbl 1250.35119Rebiai, Belgacem; Benachour, Saïd 6 2010 Global existence for the Vlasov-Darwin system in \(\mathbb R^3\) for small initial data. Zbl 1024.35027Benachour, Saïd; Filbet, Francis; Laurençot, Philippe; Sonnendrücker, Eric 6 2003 Analyticite des solutions des équations d’Euler. Zbl 0421.35073Benachour, Said 6 1979 Analyticité des solutions des équations de Vlasov-Poisson. (Analyticity of solutions of the Vlasov-Poisson equations). Zbl 0702.35042Benachour, Said 6 1989 Branching process associated with 2D-Navier-Stokes equation. Zbl 1013.35063Benachour, Saïd; Roynette, Bernard; Vallois, Pierre 5 2001 Sharp decay estimates and vanishing viscosity for diffusive Hamilton-Jacobi equations. Zbl 1175.35031Benachour, Saïd; Ben-Artzi, Matania; Laurençot, Philippe 5 2009 Very singular solutions to a nonlinear parabolic equation with absorption. II: Uniqueness. Zbl 1063.35074Benachour, 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 0587.35050Benachour, Said; Moulay, Mohammed-Said 3 1984 Large time behavior for a viscous Hamilton-Jacobi equation with Neumann boundary condition. Zbl 1078.35055Benachour, Saïd; Dabuleanu, Simona 2 2005 Asymptotic profiles of solutions to convection-diffusion equations. Zbl 1036.35030Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe 2 2004 Large time behavior for the fast diffusion equation with critical absorption. Zbl 1383.35111Benachour, 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 0926.35057Benachour, Said; Laurençot, Philippe 1 1999 Decay estimates for “anisotropic” viscous Hamilton-Jacobi equations in \(\mathbb{R}^N\). Zbl 1029.35037Benachour, Saïd; Laurençot, Philippe 1 2003 Régularité des solutions d’un opérateur elliptique dégénérée. Zbl 0262.35011Benachour, Said 1 1973 Large time behavior for the fast diffusion equation with critical absorption. Zbl 1383.35111Benachour, Said; Iagar, Razvan Gabriel; Laurençot, Philippe 1 2016 Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky equation. Zbl 1342.35140Benachour, Said; Kukavica, Igor; Rusin, Walter; Ziane, Mohammed 9 2014 Global classical solutions for reaction-diffusion systems with nonlinearities of exponential growth. Zbl 1250.35119Rebiai, Belgacem; Benachour, Saïd 6 2010 Sharp decay estimates and vanishing viscosity for diffusive Hamilton-Jacobi equations. Zbl 1175.35031Benachour, Saïd; Ben-Artzi, Matania; Laurençot, Philippe 5 2009 Decay estimates for a viscous Hamilton-Jacobi equation with homogeneous Dirichlet boundary conditions. Zbl 1133.35016Benachour, Saïd; Dăbuleanu-Hapca, Simona; Laurençot, Philippe 12 2007 Large time behavior for a viscous Hamilton-Jacobi equation with Neumann boundary condition. Zbl 1078.35055Benachour, Saïd; Dabuleanu, Simona 2 2005 Asymptotic profiles of solutions to viscous Hamilton–Jacobi equations. Zbl 1064.35075Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe 25 2004 Very singular solutions to a nonlinear parabolic equation with absorption. II: Uniqueness. Zbl 1063.35074Benachour, Saïd; Koch, Herbert; Laurençot, Philippe 3 2004 Asymptotic profiles of solutions to convection-diffusion equations. Zbl 1036.35030Benachour, Saïd; Karch, Grzegorz; Laurençot, Philippe 2 2004 Finite-time singularity versus global regularity for hyper-viscous Hamilton-Jacobi-like equations. Zbl 1038.35089Bellout, Hamid; Benachour, Said; Titi, Edriss S. 11 2003 The mixed Cauchy-Dirichlet problem for a viscous Hamilton-Jacobi equation. Zbl 1101.35043Benachour, Said; Dabuleanu, Simona 9 2003 Global existence for the Vlasov-Darwin system in \(\mathbb R^3\) for small initial data. Zbl 1024.35027Benachour, Saïd; Filbet, Francis; Laurençot, Philippe; Sonnendrücker, Eric 6 2003 Decay estimates for “anisotropic” viscous Hamilton-Jacobi equations in \(\mathbb{R}^N\). Zbl 1029.35037Benachour, Saïd; Laurençot, Philippe 1 2003 Extinction and non-extinction for viscous Hamilton-Jacobi equations in \(\mathbb{R}^N\). Zbl 1046.35053Benachour, S.; Laurençot, Ph.; Schmitt, D.; Souplet, Ph. 18 2002 Extinction and decay estimates for viscous Hamilton-Jacobi equations in \({\mathbb{R}}^N\). Zbl 1001.35007Benachour, Said; Laurençot, Philippe; Schmitt, Didier 13 2002 Very singular solutions to a nonlinear parabolic equation with absorption. I: Existence. Zbl 0973.35100Benachour, Said; Laurençot, Philippe 10 2001 Branching process associated with 2D-Navier-Stokes equation. Zbl 1013.35063Benachour, Saïd; Roynette, Bernard; Vallois, Pierre 5 2001 Global solutions to viscous Hamilton-Jacobi equations with irregular initial data. Zbl 0935.35033Benachour, Said; Laurençot, Philippe 30 1999 Explicit solutions of some fourth order partial differential equations via iterated Brownian motion. Zbl 0945.60083Benachour, 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 0926.35057Benachour, Said; Laurençot, Philippe 1 1999 Nonlinear self-stabilizing processes. I: Existence, invariant probability, propagation of chaos. Zbl 0932.60063Benachour, S.; Roynette, B.; Talay, D.; Vallois, P. 34 1998 Nonlinear self-stabilizing processes. II: Convergence to invariant probability. Zbl 0932.60064Benachour, 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 0869.35052Benachour, S.; Roynette, B.; Vallois, P. 17 1997 Processes associated to the porous medium equation. (Processus associés à l’équation des milieux poreux.) Zbl 0892.60071Benachour, S.; Chassaing, P.; Roynette, B.; Vallois, P. 14 1996 Solutions fondamentales de \(u_ t-{1\over 2}u_{xx}\). Zbl 0868.35048Benachour, S.; Roynette, B.; Vallois, P. 8 1996 Analyticité des solutions des équations de Vlasov-Poisson. (Analyticity of solutions of the Vlasov-Poisson equations). Zbl 0702.35042Benachour, 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 0587.35050Benachour, Said; Moulay, Mohammed-Said 3 1984 Analyticite des solutions des équations d’Euler. Zbl 0421.35073Benachour, Said 6 1979 Domaine d’analyticite des solutions de l’équation d’Euler dans un ouvert de \(R^n\). Zbl 0366.35022Bardos, C.; Benachour, S. 25 1977 Analyticite des solutions périodiques de l’équation d’Euler en deux dimensions. Zbl 0329.35012Bardos, Claude; Benachour, Said; Zerner, Martin 18 1976 Analyticite des solutions périodiques de l’équation d’Euler en trois dimensions. Zbl 0334.35005Benachour, Said 11 1976 Régularité des solutions d’un opérateur elliptique dégénérée. Zbl 0262.35011Benachour, Said 1 1973 all cited Publications top 5 cited Publications 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 all top 5 Cited in 29 Fields 173 Partial differential equations (35-XX) 57 Probability theory and stochastic processes (60-XX) 41 Fluid mechanics (76-XX) 19 Statistical mechanics, structure of matter (82-XX) 13 Numerical analysis (65-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Biology and other natural sciences (92-XX) 5 Real functions (26-XX) 5 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Optics, electromagnetic theory (78-XX) 3 Operator theory (47-XX) 3 Statistics (62-XX) 3 Geophysics (86-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year