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 “On the finite dimension of attractors of doubly nonlinear parabolic systems with l-trajectories”
Existence and attractors of solutions for nonlinear parabolic systems.
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.
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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Convergence of Rothe's method in Hölder spaces
Norio Kikuchi, Jozef Kačur (2003)
Applications of Mathematics
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The convergence of Rothe’s method in Hölder spaces is discussed. The obtained results are based on uniform boundedness of Rothe’s approximate solutions in Hölder spaces recently achieved by the first author. The convergence and its rate are derived inside a parabolic cylinder assuming an additional compatibility conditions.
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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