Asymptotic behavior of solutions to a quasilinear nonuniform parabolic system modelling chemotaxis (Q960825)
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scientific article; zbMATH DE number 5687479
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of solutions to a quasilinear nonuniform parabolic system modelling chemotaxis |
scientific article; zbMATH DE number 5687479 |
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Asymptotic behavior of solutions to a quasilinear nonuniform parabolic system modelling chemotaxis (English)
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29 March 2010
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The authors study a quasilinear non-uniform parabolic system modelling chemotaxis and taking the volume-filling effect into account. The convergence to equilibrium is investigated by first obtaining the crucial uniform boundedness of the solution. Then with the help of a suitable non-smooth Simon-Lojasiewicz approach the results on convergence to equilibrium and the decay rate are also obtained.
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volume-filling effect
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non-smooth Simon-Lojasiewicz approach
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decay rate
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