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ArticleOriginal scientific text

Title

Blow-up behavior in nonlocal vs local heat equations

Authors 1

Affiliations

  1. Département de Mathématiques, Université de Picardie, INSSET, 02109 St-Quentin, France

Abstract

We present some recent results on the blow-up behavior of solutions of heat equations with nonlocal nonlinearities. These results concern blow-up sets, rates and profiles. We then compare them with the corresponding results in the local case, and we show that the two types of problems exhibit "dual" blow-up behaviors.

Keywords

ENG
asymptotic behavior, boundary behavior, nonlinear parabolic equations, blow-up profiles, nonlocal source, finite time blow-up

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Banach Center Publications
2000/52/1
Export to PBN, Opens in new tab
Pages:
221-226
Main language of publication
English
Published
2000
Exact and natural sciences