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 “An iterative procedure to solve a coupled two-fluids turbulence model”
Existence and attractors of solutions for nonlinear parabolic systems.
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.
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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Solution of contaminant transport with adsorption in porous media by the method of characteristics
Jozef Kacur, Roger Van Keer (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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A new approximation scheme is presented for the mathematical model of convection-diffusion and adsorption. The method is based on the relaxation method and the method of characteristics. We prove the convergence of the method and present some numerical experiments in 1D. The results can be applied to the model of contaminant transport in porous media with multi-site, equilibrium and non-equilibrium type of adsorption.
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 existence of the weak solution for nonlinear diffusion equation
Juraj Zeman (1991)
Applications of Mathematics
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The paper concerns the existence of bounded weak solutions of a anonlinear diffusion equation with nonhomogeneous mixed boundary conditions.