Global weak solutions for a periodic two-component $μ$-Hunter-Saxton system

Details Global weak solutions for a periodic two-component $μ$-Hunter-Saxton system Global weak solutions for a periodic two-component $μ$-Hunter-Saxton system

2010-12-25

arxiv.org/abs/1012.5452v3

Mathematics

Analysis of PDEs

Scientific paper

This paper is concerned with global existence of weak solution for a periodic
two-component $\mu$-Hunter-Saxton system. We first derive global existence for
strong solutions to the system with smooth approximate initial data. Then, we
show that the limit of approximate solutions is a global weak solution of the
two-component $\mu$-Hunter-Saxton system.

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