Global existence and blow up of solutions for two classes of reaction diffusion systems with two nonlinear source terms in bounded domain

In this paper we deal with the initial boundary value problem for two classes of reaction diffusion systems with two source terms in bounded domain. Under some assumptions on the exponents and the initial data, applying the comparison principle, the maximum principle and the supersolution-subsolutio...

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Bibliographic Details
Published in:Applied Mathematics-A Journal of Chinese Universities 2016-12, Vol.31 (4), p.389-408
Main Authors: Xu, Run-zhang, Wang, Xing-chang, Chen, Shao-hua, Liu, Yu, Yang, Yan-bing
Format: Article
Language:English
Subjects:
Applications of Mathematics
Boundary value problems
Mathematics
Mathematics and Statistics
Maximum principle
Nonlinear systems
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Summary:In this paper we deal with the initial boundary value problem for two classes of reaction diffusion systems with two source terms in bounded domain. Under some assumptions on the exponents and the initial data, applying the comparison principle, the maximum principle and the supersolution-subsolution method, we prove the global existence and blow up of solutions. We also establish some upper blow up rates.
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-016-3136-2