Self-similar solutions of convection-diffusion processes.

Guedda, M.

Displaying similar documents to “Self-similar solutions of convection-diffusion processes.”

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.

Existence of global solutions for a system of reaction-diffusion equations with exponential nonlinearity.

Daddiouaissa, El Hachemi (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Existence and uniqueness of very singular solution of a degenerate parabolic equation with nonlinear convection.

Fang, Zhong Bo, Piao, Daxiong, Wang, Jian (2009)

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Uniform boundedness and global existence of solutions for reaction-diffusion systems with a balance law and a full matrix of diffusion coefficients.

Kouachi, Said (2001)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Blow up for a nonlinear degenerate parabolic equation

Fila, M., Filo, J.

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Extinction and non-extinction of solutions for a nonlocal reaction-diffusion problem.

Liu, Wenjun (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Global existence of solutions in invariant regions for reaction-diffusion systems with a balance law and a full matrix of diffusion coefficients.

Kouachi, Said (2003)

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The problems of blow-up for nonlinear heat equations. Complete blow-up and avalanche formation

Juan Luis Vázquez (2004)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We review the main mathematical questions posed in blow-up problems for reaction-diffusion equations and discuss results of the author and collaborators on the subjects of continuation of solutions after blow-up, existence of transient blow-up solutions (so-called peaking solutions) and avalanche formation as a mechanism of complete blow-up.

Uniform blow-up rates and asymptotic estimates of solutions for diffusion systems with nonlocal sources.

Cui, Zhoujin, Yang, Zuodong (2007)

Differential Equations & Nonlinear Mechanics

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