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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Displaying similar documents to “The energy method for elastic problems with non-homogeneous boundary conditions”
Existence and attractors of solutions for nonlinear parabolic systems.
Backward solutions to nonlinear integro-differential systems
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.
On the weak solution of a three-point boundary value problem for a class of parabolic equations with energy specification.
Bouziani, Abdelfatah (2003)
Abstract and Applied Analysis
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On the finite dimension of attractors of doubly nonlinear parabolic systems with l-trajectories
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.
Interior gradient estimates for nonuniformly parabolic equations. II.
Lieberman, Gary M. (2007)
Boundary Value Problems [electronic only]
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Instability, nonexistence, and uniqueness in elasticity with porous dissipation.
Leseduarte, M.C., Quintanilla, R. (2006)
Differential Equations & Nonlinear Mechanics
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Attractors for a class of doubly nonlinear parabolic systems.
El Ouardi, Hamid, El Hachimi, Abderrahmane (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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An iterative procedure to solve a coupled two-fluids turbulence model
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...
Global existence and asymptotic behaviour for a degenerate diffusive SEIR model.
Aliziane, Tarik, Langlais, Michel (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Rothe time-discretization method for the semilinear heat equation subject to a nonlocal boundary condition.
Merazga, Nabil, Bouziani, Abdelfatah (2006)
Journal of Applied Mathematics and Stochastic Analysis
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