Large self-similar solutions of the parabolic-elliptic Keller--Segel model

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 with are below the Chandrasekhar solution -- the singular stationary solution of this system.

arXiv commentto appear in Indiana University Mathematics Journal

References in corpus (1)

• Existence, uniqueness and asymptotic behavior of the solutions to the fully parabolic Keller-Segel system in the plane