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Blow-up for semidiscretizations of reaction-diffusion equations

✍ Scribed by Luis M. Abia; J.C. López-Marcos; Julia Martínez

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
484 KB
Volume
20
Category
Article
ISSN
0168-9274

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Semidiscretizations of reaction-diffusion equations are studied and special attention is devoted to symmetric solutions. Also nonsymmetric solutions are considered when the reaction term is such that f(0) = 0. Sufficient conditions for blow-up in such discretizations are established and upper bounds

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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