Shock waves for a model system of the radiating gas

Shuichi Kawashima*, Shinya Nishibata

*この研究の対応する著者

研究成果: Article査読

76 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English
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Published - 1998
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 計算数学
  • 応用数学

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