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Blow-up profiles of solutions for the exponential reaction-diffusion equation

✍ Scribed by A. Pulkkinen

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
311 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

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 the final time blow-up profile for such solutions. The proof is based on general ideas using semigroup estimates. The same approach works also for the power nonlinearity.

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