A nonlinear diffusion equation with nonlinear boundary conditions: Method of lines
Ján Filo (1988)
Mathematica Slovaca
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Displaying similar documents to “On existence of the weak solution for nonlinear diffusion equation”
A nonlinear diffusion equation with nonlinear boundary conditions: Method of lines
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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On an approximate solution for quasilinear parabolic equations
Jozef Kačur, Alojz Wawruch (1977)
Czechoslovak Mathematical Journal
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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.
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...