Analyticity of solutions in type III thermoelastic plates

Zhuangyi Liu; Ramón Quintanilla

doi:10.1093/imamat/hxq016

Analyticity of solutions in type III thermoelastic plates

Zhuangyi Liu, Ramón Quintanilla

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

In this paper, we consider the system of equations that governs the evolution of the homogeneous and isotropic prestressed type III thermoelastic plates. We prove that the semigroup that generates the solutions to this problem is analytic. This regularity property implies the impossibility of localization of solutions. Different boundary conditions are also considered.

Original language	English (US)
Pages (from-to)	356-365
Number of pages	10
Journal	IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume	75
Issue number	3
DOIs	https://doi.org/10.1093/imamat/hxq016
State	Published - Jun 1 2010

Keywords

analyticity
exponential stability
type III thermoelasticity
well-posedness

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title = "Analyticity of solutions in type III thermoelastic plates",

abstract = "In this paper, we consider the system of equations that governs the evolution of the homogeneous and isotropic prestressed type III thermoelastic plates. We prove that the semigroup that generates the solutions to this problem is analytic. This regularity property implies the impossibility of localization of solutions. Different boundary conditions are also considered.",

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AU - Quintanilla, Ramón

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N2 - In this paper, we consider the system of equations that governs the evolution of the homogeneous and isotropic prestressed type III thermoelastic plates. We prove that the semigroup that generates the solutions to this problem is analytic. This regularity property implies the impossibility of localization of solutions. Different boundary conditions are also considered.

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KW - exponential stability

KW - type III thermoelasticity

KW - well-posedness

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