Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation.
Abdallah, Ahmed Y. (2005)
Abstract and Applied Analysis
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Abdallah, Ahmed Y. (2005)
Abstract and Applied Analysis
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Abdallah, Ahmed Y. (2005)
Journal of Applied Mathematics
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Deugoue, Gabriel, Sango, Mamadou (2010)
Boundary Value Problems [electronic only]
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Wu, Delin (2009)
Abstract and Applied Analysis
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Zhou, Shengfang (2001)
Discrete Dynamics in Nature and Society
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Staněk, Svatoslav (2010)
Advances in Difference Equations [electronic only]
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Bahuguna, D., Dabas, J. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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.
Razafimandimby, P.A., Sango, M. (2010)
Boundary Value Problems [electronic only]
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John W. Barrett, Linda El Alaoui (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider a system of degenerate parabolic equations modelling a thin film, consisting of two layers of immiscible Newtonian liquids, on a solid horizontal substrate. In addition, the model includes the presence of insoluble surfactants on both the free liquid-liquid and liquid-air interfaces, and the presence of both attractive and repulsive van der Waals forces in terms of the heights of the two layers. We show that this system formally satisfies a Lyapunov structure, and a...