Exponential stability and analyticity of abstract linear thermoelastic systems

Kangsheng Liu, Zhuangyi Liu

Research output: Contribution to journalArticlepeer-review

41 Scopus citations

Abstract

This paper develops an abstract framework for analysis of linear thermoelastic systems. Linear semigroup theory is used to establish the well-posedness. Sufficient conditions for the exponential stability and analyticity of the associated semigroups for the thermoelastic systems are obtained via the frequency domain method and a contradiction argument. The results are applied to linear thermoelastic rods, beams and plates of homogeneous and nonhomogeneous material with various boundary conditions.

Original languageEnglish (US)
Pages (from-to)885-904
Number of pages20
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume48
Issue number6
DOIs
StatePublished - Nov 1997

Keywords

  • Analyticity, semigroup
  • Exponential stability
  • Linear thermoelastic system

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