Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation.
Abdallah, Ahmed Y. (2005)
Abstract and Applied Analysis
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Displaying similar documents to “Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems.”
Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation.
Asymptotic behavior for second order lattice dynamical systems.
Zhou, Shengfang (2001)
Discrete Dynamics in Nature and Society
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Uniform attractor for the partly dissipative nonautonomous lattice systems.
Li, Xiaojun, Lv, Haishen (2009)
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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.
On Opial-type integral inequalities.
Cheung, Wing-Sum, Zhao, Chang-Jian (2007)
Journal of Inequalities and Applications [electronic only]
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Finite element approximation of a two-layered liquid film in the presence of insoluble surfactants
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...
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.
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.