Existence and attractors of solutions for nonlinear parabolic systems.
El Hachimi, A., El Quardi, H. (2001)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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El Hachimi, A., El Quardi, H. (2001)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Yuzhen Bai (2010)
Open Mathematics
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In this paper, we show the backward uniqueness in time of solutions to nonlinear integro-differential systems with Neumann or Dirichlet boundary conditions. We also discuss reasonable physical interpretations for our conclusions.
Bouziani, Abdelfatah (2003)
Abstract and Applied Analysis
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Hamid El Ouardi (2007)
Archivum Mathematicum
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This paper is concerned with the asymptotic behaviour of a class of doubly nonlinear parabolic systems. In particular, we prove the existence of the global attractor which has, in one and two space dimensions, finite fractal dimension.
Lieberman, Gary M. (2007)
Boundary Value Problems [electronic only]
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Leseduarte, M.C., Quintanilla, R. (2006)
Differential Equations & Nonlinear Mechanics
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El Ouardi, Hamid, El Hachimi, Abderrahmane (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Tomas Chacón Rebollo, Stéphane Del Pino, Driss Yakoubi (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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This paper introduces a scheme for the numerical approximation of a model for two turbulent flows with coupling at an interface. We consider the variational formulation of the coupled model, where the turbulent kinetic energy equation is formulated by transposition. We prove the convergence of the approximation to this formulation for 3D flows for large turbulent viscosities and smooth enough flows, whenever bounded in Sobolev norms for large enough. Under the...
Aliziane, Tarik, Langlais, Michel (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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