Finite speed of propagation in 1-D degenerate Keller-Segel system (Q2883889)
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scientific article; zbMATH DE number 6034386
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite speed of propagation in 1-D degenerate Keller-Segel system |
scientific article; zbMATH DE number 6034386 |
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Finite speed of propagation in 1-D degenerate Keller-Segel system (English)
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14 May 2012
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linear chemotactic sensitivity
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porous medium type diffusion
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This paper deals with a degenerate Keller-Segel type chemotaxis model with linear chemotactic sensitivity and porous medium type diffusion. A local-in-time weak solution with certain Lipschitz continuity is constructed through regularization and a priori estimates under suitable assumptions on initial data. As a consequence, the finite speed of propagation of the support of the solution is deduced and a region, in which the corresponding free boundary lies, is described.
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