The Cauchy problem of a periodic 2-component \mu-Hunter-Saxton system in Besov spaces

TL;DR

This paper investigates the local and global behavior of a periodic 2-component -Hunter-Saxton system in Besov spaces, providing new well-posedness, blow-up, and global existence results that improve upon previous studies.

Contribution

It introduces improved well-posedness and blow-up criteria, along with a novel global existence theorem for the system in Besov spaces.

Findings

Established local well-posedness in Besov spaces.

Characterized precise blow-up scenarios.

Proved a new global existence result.

Abstract

This paper is concerned with the local well-posedness and the precise blow-up scenario for a periodic 2-component \mu-Hunter-Saxton system in Besov spaces. Moreover, we state a new global existence result to the system. Our obtained results for the system improve considerably earlier results.