Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620803 | Journal of Mathematical Analysis and Applications | 2008 | 10 Pages |
Abstract
This paper deals with heat equations coupled via exponential and power nonlinearities, subject to null Dirichlet boundary conditions. The complete and optimal classification on non-simultaneous and simultaneous blow-ups is proposed by four sufficient and necessary conditions. We find out that, in some exponent region, the blow-up properties of the solutions depend much on the choosing of initial data. Moreover, all kinds of non-simultaneous and simultaneous blow-up rates are obtained.
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