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Decay Rate for Travelling Waves of a Relaxation Model

✍ Scribed by Hailiang Liu; Ching Wah Woo; Tong Yang

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
404 KB
Volume
134
Category
Article
ISSN
0022-0396

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✦ Synopsis

Wang, Asymptotic stability of travelling wave solutions of a hyperbolic system with relaxation terms, preprint, 1995] when the original system is scalar. In this paper, we study the rate of the asymptotic convergence speed of thse travelling wave solutions. The analysis applies to the case of a nonconvex flux and when the shock speed coincides with characteristic speed of the state at infinity. The decay rate is obtained by applying the energy method and is shown to be the same as the one for the viscous conservation law [A. Matsumura and K. Nishihara, Comm. Math. Phys. 165 (1994), 83 96].

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