Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems.
Abdallah, Ahmed Y. (2005)
Journal of Applied Mathematics
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Abdallah, Ahmed Y. (2005)
Journal of Applied Mathematics
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Zhou, Shengfang (2001)
Discrete Dynamics in Nature and Society
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Li, Xiaojun, Lv, Haishen (2009)
Advances in Difference Equations [electronic only]
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Fan, Xiaoming (2008)
Journal of Applied Mathematics
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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.
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.
El Hachimi, A., El Quardi, H. (2001)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Zhang, Zai-Yun, Liu, Zhen-Hai (2011)
International Journal of Mathematics and Mathematical Sciences
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Handlovičová, A. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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