Blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity

• Published in: Український математичний вісник
• Date: 2004
• Main Author: Chaves, M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124633
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity / M. Chaves // Український математичний вісник. — 2004. — Т. 1, № 4. — С. 583-597. — Бібліогр.: 22 назв. — англ.

We study the blow-up phenomena arising in a p-laplacian equation with reaction and absorption terms. We show that there exists a unique blowing-up approximate self-similar solution which describe the asymptotic singular behaviour of a wide class of solutions. As a consequence, we conclude that in th...