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Solution profiles beyond quenching for degenerate reaction-diffusion problems

โœ Scribed by C.Y. Chan; P.C. Kong

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
360 KB
Volume
24
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

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## Abstract Let __f__(__u__) be twice continuously differentiable on [0, __c__]) for some constant __c__ such that __f__(0) > 0,__f__โ€ฒ โฉพ 0,__f__โ€ณ โฉพ 0, and lim~__u__โ†’__c__~__f__(__u__) = โˆž. Also, let ฯ‡(__S__) be the characteristic function of the set __S__. This article studies all solutions __u__ w

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## Communicated by Marek Fila We consider the blow-up of solutions for a semilinear reaction-diffusion equation with exponential reaction term. It is known that certain solutions that can be continued beyond the blow-up time possess a non-constant self-similar blowup profile. Our aim is to find th