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Blow-up and blow-up rate for a reaction–diffusion model with multiple nonlinearities

✍ Scribed by Xianfa Song; Sining Zheng

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 132 KB
Volume: 54
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(03)00063-4

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✦ Synopsis

This paper deals with interactions among three kinds of nonlinear mechanisms: nonlinear di usion, nonlinear reaction and nonlinear boundary ux in a parabolic model with multiple nonlinearities. The necessary and su cient blow-up conditions are established together with blow-up rate estimates for the positive solutions of the problem.

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