Blow-up phenomena in reaction-diffusion systems | Zendy

Monica Marras | Zendy; Stella Vernier Piro | Zendy

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Blow-up phenomena in reaction-diffusion systems

Author(s) -

Monica Marras,

Stella Vernier Piro

Publication year - 2012

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2012.32.4001

Subject(s) - reaction–diffusion system , diffusion , nonlinear system , mathematics , order (exchange) , mathematical analysis , boundary (topology) , physics , thermodynamics , finance , quantum mechanics , economics

In this paper we deal with the blow-up phenomena of solutions to two different classes of reaction-diffusion systems coupled through nonlinearities with nonlinear boundary conditions. By using a differential inequality technique, we derive upper and lower bounds for the blow-up time, if blow-up occurs. Moreover by introducing suitable auxiliary functions, we give suffcient conditions on data in order to obtain global existence

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