Asymptotic Behavior of Solutions for p-System with Relaxation

✍ Scribed by Changjiang Zhu

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 183 KB
• Volume: 180
• Category: Article
• ISSN: 0022-0396
• DOI: 10.1006/jdeq.2001.4063

✦ Synopsis

In this paper, we consider the asymptotic behavior of solutions for the Cauchy problem for p-system with relaxation

with initial data

We are interested to show the solutions of (E), (I) tend also to the equilibrium rarefaction waves and the traveling waves even if the limits (v ± , u ± ) of the initial data at x= ± . do not satisfy the equilibrium equation; i.e., u ± ] f(v ± ). When the limits of the initial data at infinity satisfy equilibrium states, Liu [9] studied the stability of rarefaction waves and traveling waves for the general 2 × 2 hyperbolic conservation laws with relaxation.