Global existence and blow-up solutions and blow-up estimates for a non-local quasilinear degenerate parabolic system (Q929443)
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scientific article; zbMATH DE number 5289102
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence and blow-up solutions and blow-up estimates for a non-local quasilinear degenerate parabolic system |
scientific article; zbMATH DE number 5289102 |
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Global existence and blow-up solutions and blow-up estimates for a non-local quasilinear degenerate parabolic system (English)
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17 June 2008
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The authors study existence and blow-up for the following system of two coupled evolutionary \(p\)-Laplacian equations: \[ {\partial u_j\over\partial t}- \text{div}(|\nabla u_j|^{p-2}\nabla u_j)= a_j \int_\Omega u^{\alpha_j}_j(x, t) u^{\beta_k}_k(x, t)\,dx. \] Here \(j,k= 1,2\) and \(k\neq j\). The source terms are nonlocal.
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\(p\)-Laplacian systems
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non-local source
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global existence
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non-existence
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blow-up
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