Blow-up for the porous media equation with source term and positive initial energy (Q1576975)
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scientific article; zbMATH DE number 1497296
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blow-up for the porous media equation with source term and positive initial energy |
scientific article; zbMATH DE number 1497296 |
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Blow-up for the porous media equation with source term and positive initial energy (English)
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15 January 2001
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The Cauchy-Dirichlet problem for the porous media equation with nonlinear source term in a bounded set is considered. The problem describes the propagation of thermal perturbations in a medium with nonlinear heat-conduction coefficient and a heat source depending on the temperature. The aim of the paper is to extend the unstable set to a part of the positive energy region, a phenomenon known only for linear conduction.
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Cauchy-Dirichlet problem
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propagation of thermal perturbations
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positive energy region
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nonlinear heat-conduction coefficient
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0.9454293
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0.9400478
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0.9394735
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0.9388641
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0.93402076
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