Global solutions for a hyperbolic-parabolic system of chemotaxis

TL;DR

This paper investigates a hyperbolic-parabolic chemotaxis model in one and two dimensions, establishing the global existence of classical solutions under specific dissipation conditions.

Contribution

It provides the first proof of global classical solutions for this chemotaxis system in low dimensions with particular dissipation regimes.

Findings

Global existence of classical solutions in 1D and 2D

Solutions exist under certain dissipation conditions

Advances understanding of chemotaxis models with hyperbolic-parabolic structure

Abstract

We study a hyperbolic-parabolic model of chemotaxis in dimensions one and two. In particular, we prove the global existence of classical solutions in certain dissipation regimes.