Global in time existence of small solutions of non‐linear thermoviscoelastic equations

研究成果: Article査読

12 被引用数 (Scopus)

抄録

We prove a global in time existence theorem of classical solutions of the initial boundary value problem for a non‐linear thermoviscoelastic equation in a bounded domain for very smooth initial data, external forces and heat supply which are very close to a specific constant equilibrium state. Our proof is a combination of a local in time existence theorem and some a priori estimates of local in time solutions. Such a priori estimates are proved basically for suitable linear problems by using some multiplicative techniques. An exponential stability of the constant equilibrium state also follows from our proof of the existence and regularity theorems.

本文言語English
ページ(範囲)871-895
ページ数25
ジャーナルMathematical Methods in the Applied Sciences
18
11
DOI
出版ステータスPublished - 1995
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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