Nonlinear stability of travelling wave solutions for viscoelastic materials with fading memory

Harumi Hattori*, Shuichi Kawashima

*この研究の対応する著者

研究成果: Article査読

2 被引用数 (Scopus)

抄録

In this paper, we shall discuss the stability of smooth monotone travelling wave solutions for viscoelastic materials with memory. It is known that a smooth monotone travelling wave solution exists for (1.1) if the end states are close and satisfy the Rankine-Hugoniot condition. For such a travelling wave, we shall show that if the initial data are close to a travelling wave solution, the solutions to (1.1) will approach the travelling wave solution in sup norm as the time goes to infinity. For the constitutive relations, we shall discuss two cases: convex and nonconvex.

本文言語English
ページ(範囲)174-196
ページ数23
ジャーナルJournal of Differential Equations
127
1
DOI
出版ステータスPublished - 1996 5月 1
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 応用数学

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