About the interface of some nonlinear diffusion problems.
J. Goncerzewicz, W. Okrasinski (1994)
Extracta Mathematicae
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Displaying similar documents to “Exact solutions to some nonlinear PDEs, travelling profiles method.”
About the interface of some nonlinear diffusion problems.
Note on the asymptotic behaviour of the interface of some nonlinear diffusion problems.
W. Okrasinski (1992)
Extracta Mathematicae
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A lower estimate of the interface of some nonlinear diffusion problems.
J. Goncerzewicz, N. Okrasinski (1994)
Extracta Mathematicae
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Non-simultaneous blow-up for a reaction-diffusion system with absorption and coupled boundary flux.
Zhou, Jun, Mu, Chunlai (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Extinction for fast diffusion equations with nonlinear sources.
Li, Yuxiang, Wu, Jichun (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Non-simultaneous blow-up for a semilinear parabolic system with nonlinear memory.
Zhou, Jun (2007)
Surveys in Mathematics and its Applications
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Blow up for a nonlinear degenerate parabolic equation
Fila, M., Filo, J.
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Solitary wave and other solutions for nonlinear heat equations
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.
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...
A Neumann problem for a convection-diffusion equation on the half-line
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.