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Blow‐up phenomena for a system of semilinear parabolic equations with nonlinear boundary conditions
Author(s) -
Baghaei Khadijeh,
Hesaaraki Mahmoud
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3085
Subject(s) - mathematics , nonlinear system , parabolic partial differential equation , mathematical analysis , boundary (topology) , boundary value problem , partial differential equation , physics , quantum mechanics
This paper deals with the blow‐up phenomena for a system of parabolic equations with nonlinear boundary conditions. We show that under some conditions on the nonlinearities, blow‐up occurs at some finite time. We also obtain upper and lower bounds for the blow‐up time when blow‐up occurs. Copyright © 2014 John Wiley & Sons, Ltd.