On the fractional Fisher information with applications to a hyperbolic-parabolic system of chemotaxis

TL;DR

This paper introduces new lower bounds for fractional Fisher information and applies them to analyze a chemotaxis model, proving global existence of solutions under specific conditions.

Contribution

It provides novel lower bounds for fractional Fisher information and uses these to establish global solutions for a chemotaxis system.

Findings

New lower bounds for fractional Fisher information

Global existence of solutions in certain regimes

Application to a chemotaxis hyperbolic-parabolic system

Abstract

We introduce new lower bounds for the fractional Fisher information. Equipped with these bounds we study a hyperbolic-parabolic model of chemotaxis and prove the global existence of solutions in certain dissipation regimes.