Global solutions to the equation of thermoelasticity with fading memory

Mari Okada, Shuichi Kawashima

    Research output: Contribution to journalArticlepeer-review

    6 Citations (Scopus)

    Abstract

    We consider the initial-history value problem for the one-dimensional equation of thermoelasticity with fading memory. It is proved that if the data are smooth and small, then a unique smooth solution exists globally in time and converges to the constant equilibrium state as time goes to infinity. Our proof is based on a technical energy method which makes use of the strict convexity of the entropy function and the properties of strongly positive definite kernels.

    Original languageEnglish
    Pages (from-to)338-364
    Number of pages27
    JournalJournal of Differential Equations
    Volume263
    Issue number1
    DOIs
    Publication statusPublished - Jul 5 2017

    All Science Journal Classification (ASJC) codes

    • Analysis
    • Applied Mathematics

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