Blowing up radial solutions in the minimal Keller-Segel model of chemotaxis

Abstract

We consider the simplest parabolic-elliptic model of chemotaxis in the whole space in several dimensions. Criteria for the blowup of radially symmetric solutions in terms of suitable Morrey spaces norms are derived.

arXiv comment20 pages

References in corpus (2)

• The one-dimensional Keller-Segel model with fractional diffusion of cells
• Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data

Cited by in corpus (1)

• Upper bounds for the blow-up time of the 2-D parabolic-elliptic Patlak-Keller-Segel model of chemotaxis