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Thermoelastic Plates

  • Igor Chueshov
  • Irena Lasiecka
Chapter
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

In this chapter we study well-posedness and regularity issues associated with thermoelastic plates. The PDE model of thermoelasticity consists of coupled second-order (plate) and first-order (heat) equations. For this reason, treatment of thermoelastic models does not follow from the corresponding treatment of abstract second-order equations. A new functional framework needs to be developed.

In this chapter we undertake a study of solutions associated with von Karman evolution equations subject to thermal dissipation. We consider models with and without the rotational inertia terms.

Keywords

Strong Solution Exponential Stability Continuous Semigroup Contraction Semigroup Resolvent Estimate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media 2010

Authors and Affiliations

  1. 1.Department of Mechanics & MathematicsKharkov National UniversityKharkovUkraine
  2. 2.Department of MathematicsUniversity of VirginiaCharlottesvilleUSA

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