Some recent results on blow-up on the boundary for the heat equation
Miroslav Chlebík, Marek Fila (2000)
Banach Center Publications
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Displaying similar documents to “Blow-up behavior in nonlocal vs local heat equations”
Some recent results on blow-up on the boundary for the heat equation
The blow-up rate for a semilinear parabolic equation with a nonlinear boundary condition.
Rossi, J.D. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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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.
Blow-up on the boundary: a survey
Marek Fila, Ján Filo (1996)
Banach Center Publications
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Generic behaviour of one-dimensional blow up patterns
M. A. Herrero, J. J. L. Velázquez (1992)
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