Global radial solutions in classical Keller-Segel model of chemotaxis

TL;DR

This paper investigates conditions under which radially symmetric solutions to the classical Keller-Segel chemotaxis model exist globally in time, using Morrey norms to establish criteria for their existence.

Contribution

It introduces new criteria based on Morrey norms for the global existence of radial solutions in the Keller-Segel model.

Findings

Derived criteria for global solutions in terms of Morrey norms

Identified conditions for radial solutions to exist globally

Enhanced understanding of chemotaxis model behavior

Abstract

We consider the simplest parabolic-elliptic model of chemotaxis in the whole space in several dimensions. Criteria for the existence of radial global-in-time solutions in terms of suitable Morrey norms are derived.