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

研究成果: Article

12 引用 (Scopus)

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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.

元の言語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
発行部数11
DOI
出版物ステータスPublished - 1995
外部発表Yes

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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