About the interface of some nonlinear diffusion problems.
J. Goncerzewicz, W. Okrasinski (1994)
Extracta Mathematicae
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Displaying similar documents to “Note on the asymptotic behaviour of the interface of some nonlinear diffusion problems.”
About the interface of some nonlinear diffusion problems.
A lower estimate of the interface of some nonlinear diffusion problems.
J. Goncerzewicz, N. Okrasinski (1994)
Extracta Mathematicae
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A solution of nonlinear diffusion problems by semilinear reaction-diffusion systems
Hideki Murakawa (2009)
Kybernetika
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This paper deals with nonlinear diffusion problems involving degenerate parabolic problems, such as the Stefan problem and the porous medium equation, and cross-diffusion systems in population ecology. The degeneracy of the diffusion and the effect of cross-diffusion, that is, nonlinearities of the diffusion, complicate its analysis. In order to avoid the nonlinearities, we propose a reaction-diffusion system with solutions that approximate those of the nonlinear diffusion problems....
Behaviour of the support of the solution appearing in some nonlinear diffusion equation with absorption
Tomoeda, Kenji
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Numerical experiments suggest interesting properties in the several fields of fluid dynamics, plasma physics and population dynamics. Among such properties, we may observe the interesting phenomena; that is, the repeated appearance and disappearance phenomena of the region penetrated by the fluid in the flow through a porous media with absorption. The model equation in two dimensional space is written in the form of the initial-boundary value problem for a nonlinear diffusion equation...
Contractivity and Asymptotics in Wasserstein Metrics for Viscous Nonlinear Scalar Conservation Laws
José A. Carrillo, Marco Di Francesco, Corrado Lattanzio (2007)
Bollettino dell'Unione Matematica Italiana
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In this work, recent results concerning the long time asymptotics of one- dimensional scalar conservation laws with probability densities as initial data are reviewed and further applied to the case of viscous conservation laws with nonlinear degenerate diffusions. The non-strict contraction of the maximal transport distance together with a uniform expansion of the solutions lead to the existence of time-de- pendent asymptotic profiles for a large class of convection-diffusion problems...