Coexistence of simultaneous and nonsimultaneous blow-up in a semilinear parabolic system. (Q976603)
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scientific article; zbMATH DE number 5720811
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coexistence of simultaneous and nonsimultaneous blow-up in a semilinear parabolic system. |
scientific article; zbMATH DE number 5720811 |
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Coexistence of simultaneous and nonsimultaneous blow-up in a semilinear parabolic system. (English)
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15 June 2010
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The system \(\partial _t u=\Delta u+u^r+v^p\), \(\partial _t v=\Delta v+v^s+u^q\) in \(\Omega \times (0,T)\) \((\Omega \subset \mathbb R^N)\) with Dirichlet boundary conditions is considered. The blow up in time of one or both components is investigated with respect to value of positive parameters \(r,p,s,q\).
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\(2\times 2\) parabolic system
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power nonlinearities
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blow up in time
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