The problems of blow-up for nonlinear heat equations. Complete blow-up and avalanche formation (Q2504957)
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| Language | Label | Description | Also known as |
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| English | The problems of blow-up for nonlinear heat equations. Complete blow-up and avalanche formation |
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The problems of blow-up for nonlinear heat equations. Complete blow-up and avalanche formation (English)
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28 September 2006
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Summary: 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.
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Blow-up
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Semilinear heat equations
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Thermal avalanche
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