About the interface of some nonlinear diffusion problems.
J. Goncerzewicz, W. Okrasinski (1994)
Extracta Mathematicae
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J. Goncerzewicz, W. Okrasinski (1994)
Extracta Mathematicae
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W. Okrasinski (1992)
Extracta Mathematicae
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J. Goncerzewicz, N. Okrasinski (1994)
Extracta Mathematicae
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Zhou, Jun, Mu, Chunlai (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Li, Yuxiang, Wu, Jichun (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Zhou, Jun (2007)
Surveys in Mathematics and its Applications
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Fila, M., Filo, J.
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Anatoly Nikitin, Tetyana Barannyk (2004)
Open Mathematics
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A number of explicit solutions for the heat equation with a polynomial non-linearity and for the Fisher equation is presented. An extended class of non-linear heat equations admitting solitary wave solutions is described. The generalization of the Fisher equation is proposed whose solutions propagate with arbitrary ad hoc fixed velocity.
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...
Piotr Biler, Grzegorz Karch (2000)
Annales Polonici Mathematici
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We study solutions to a nonlinear parabolic convection-diffusion equation on the half-line with the Neumann condition at x=0. The analysis is based on the properties of self-similar solutions to that problem.