A new result for boundedness of solutions to a higher-dimensional quasilinear chemotaxis system with a logistic source (Q1996893)
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scientific article; zbMATH DE number 7316096
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new result for boundedness of solutions to a higher-dimensional quasilinear chemotaxis system with a logistic source |
scientific article; zbMATH DE number 7316096 |
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A new result for boundedness of solutions to a higher-dimensional quasilinear chemotaxis system with a logistic source (English)
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28 February 2021
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A version of the doubly parabolic Keller-Segel system with nonlinear (but nondegenerate) diffusion and logistic source term is studied in bounded domains of \(\mathbb R^N\), \(N\ge 2\). Using a new energy-type inequality global-in-time and uniform boundedness of solutions is studied under suitable assumptions on the diffusion term.
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chemotaxis
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nonlinear diffusion
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logistic reaction term
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global existence
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boundedness of solutions
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