This paper is concerned with global stability of strong rarefaction waves of the Jin-Xin relaxation model for the p-system. The proofs are given by an elementary energy method and the existence of a positively invariant region obtained by Serre [Serre, D. (2000). Relaxations semi-lineaire et cinetique des systemes de Lois de conservation. Ann. Inst. H. Poincare Anal. Non Lineaire 17(2):169-192] plays an important role in our analysis.
ASJC Scopus subject areas
- Applied Mathematics