Complete Blow-up and Avalanche Formation for a Parabolic System with Non-Simultaneous Blow-up
Abstract: We study the possibility of defining a nontrivial continuation after the blow-up time for a system of two heat equations with a nonlinear coupling at the boundary. It turns out that any possible continuation that verifies a maximum principle is identically infinity everywhere after the blow-up time; that is, both components blow up completely. We also analyze the propagation of the singularity to the whole space, the avalanche, when blow-up is non-simultaneous.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Complete Blow-up and Avalanche Formation for a Parabolic System with Non-Simultaneous Blow-up ; volume:10 ; number:3 ; year:2010 ; pages:659-679 ; extent:21
Advanced nonlinear studies ; 10, Heft 3 (2010), 659-679 (gesamt 21)
- Creator
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Brändle, Cristina
Quirós, Fernando
Rossi, Julio D.
- DOI
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10.1515/ans-2010-0308
- URN
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urn:nbn:de:101:1-2405021700023.102402345313
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 11:03 AM CEST
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Associated
- Brändle, Cristina
- Quirós, Fernando
- Rossi, Julio D.
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