Relaxation limit in larger Besov spaces for compressible Euler equations

TL;DR

This paper investigates the relaxation limit of compressible Euler equations within larger Besov spaces, extending previous Sobolev and Besov space results by revising commutator estimates and exploring Chemin-Lerner space connections.

Contribution

It introduces an extension of relaxation limit analysis to larger Besov spaces, broadening the functional framework beyond prior Sobolev and critical Besov space results.

Findings

Extended relaxation limit results to larger Besov spaces.

Revised commutator estimates for better analysis.

Connected homogeneous and inhomogeneous Chemin-Lerner spaces.

Abstract

The work is devoted to the relaxation limit in larger Besov spaces for compressible Euler equations, which contains previous results in Sobolev spaces and Besov spaces with critical regularity. Such an extension depends on a revision of commutator estimates and an elementary fact which indicates the connection between homogeneous and inhomogeneous Chemin-Lerner spaces.