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

Harumi Hattori, Shuichi Kawashima

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)174-196
    Number of pages23
    JournalJournal of Differential Equations
    Volume127
    Issue number1
    DOIs
    Publication statusPublished - May 1 1996

    All Science Journal Classification (ASJC) codes

    • Analysis
    • Applied Mathematics

    Fingerprint

    Dive into the research topics of 'Nonlinear stability of travelling wave solutions for viscoelastic materials with fading memory'. Together they form a unique fingerprint.

    Cite this