Open AccessBlow-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