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On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis - MaRDI portal

On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis (Q713332)

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scientific article; zbMATH DE number 6099362
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On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis
scientific article; zbMATH DE number 6099362

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    On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis (English)
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    26 October 2012
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    The authors study the large time behavior of the solutions to a Keller-Segel system which has self-similar solutions. Using the invariant properties of the equation with respect to a scaling and translations they show that suitably shifted self-similar solutions provide more precise asymptotic profiles of general solutions at large time and compute the convergence rate.
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    Keller-Segel system
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    large time asymptotics
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    scaling invariance
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    translation invariance
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    convergence rate
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