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.
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.