A lower estimate of the interface of some nonlinear diffusion problems.

J. Goncerzewicz; N. Okrasinski

Displaying similar documents to “A lower estimate of the interface of some nonlinear diffusion problems.”

About the interface of some nonlinear diffusion problems.

J. Goncerzewicz, W. Okrasinski (1994)

Extracta Mathematicae

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Note on the asymptotic behaviour of the interface of some nonlinear diffusion problems.

W. Okrasinski (1992)

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Existence results for a class of quasilinear integrodifferential equations of Volterra-Hammerstein type with nonlinear boundary conditions

Zuodong Yang (2004)

Annales Polonici Mathematici

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The existence of a solution for a class of quasilinear integrodifferential equations of Volterra-Hammerstein type with nonlinear boundary conditions is established. Such equations occur in the study of the p-Laplace equation, generalized reaction-diffusion theory, non-Newtonian fluid theory, and in the study of turbulent flows of a gas in a porous medium. The results are obtained by using upper and lower solutions, and extend some previously known results.

Weak solutions for some reaction-diffusion systems with balance law and critical growth with respect to the gradient

N. Alaa, I. Mounir (2001)

Annales mathématiques Blaise Pascal

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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....

Anisotropic nonlinear diffusion with absorption: Existence and extinction.

Lair, Alan V., Oxley, Mark E. (1996)

International Journal of Mathematics and Mathematical Sciences

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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...