Preventing blow up in a chemotaxis model (Q1773313)
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scientific article; zbMATH DE number 2162023
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Preventing blow up in a chemotaxis model |
scientific article; zbMATH DE number 2162023 |
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Preventing blow up in a chemotaxis model (English)
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28 April 2005
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The aim of the paper is to deliver some a priori estimates excluding the existence of blow-up solutions for a chemotaxis model of Keller-Segel type. The author shows that if the pressure function grows faster than the logarithm for high cell densities, then the solutions cannot blow-up in finite time. To this end the author uses the Lyapunov function.
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Lyapunov function
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Keller-Segel type
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