Shock waves for a model system of the radiating gas

Shuichi Kawashima, Shinya Nishibata

研究成果: Contribution to journalArticle査読

77 被引用数 (Scopus)

抄録

This paper is concerned with the existence and the asymptotic stability of traveling waves for a model system derived from approximating the one-dimensional system of the radiating gas. We show the existence of smooth or discontinuous traveling waves and also prove the uniqueness of these traveling waves under the entropy condition, in the class of piecewise smooth functions with the first kind discontinuities. Furthermore, we show that the C3-smooth traveling waves are asymptotically stable and that the rate of convergence toward these waves is t-1/4, which looks optimal. The proof of stability is given by applying the standard energy method to the integrated equation of the original one.

本文言語英語
ページ(範囲)95-117
ページ数23
ジャーナルSIAM Journal on Mathematical Analysis
30
1
DOI
出版ステータス出版済み - 1998

All Science Journal Classification (ASJC) codes

  • 分析
  • 計算数学
  • 応用数学

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