Continuity of the quenching time in a heat equation with a nonlinear boundary condition.
Assalé, Louis A., Boni, Théodore K., Firmin (2008)
Bulletin of TICMI
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Displaying similar documents to “Quenching for a reaction-diffusion system with coupled inner singular absorption terms.”
Continuity of the quenching time in a heat equation with a nonlinear boundary condition.
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The paper contributes to the problem of finding all possible structures and waves, which may arise and preserve themselves in the open nonlinear medium, described by the mathematical model of heat structures. A new class of self-similar blow-up solutions of this model is constructed numerically and their stability is investigated. An effective and reliable numerical approach is developed and implemented for solving the nonlinear elliptic self-similar problem and the parabolic problem....
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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.