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Large Self-Similar Solutions of the Parabolic-Elliptic Keller-Segel Model

Piotr Biler,Grzegorz Karch,Hiroshi Wakui

INDIANA UNIVERSITY MATHEMATICS JOURNAL（2023）

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Abstract
We construct radial self-similar solutions of the so-called minimal parabolic-elliptic Keller-Segel model in several space dimensions with radial, nonnegative initial conditions which are below the Chandrasekhar solution-the singular stationary solution of this system.
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Self-similar solutions,parabolic-elliptic Keller-Segel system
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