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

26 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 2010

Keywords

analyticity
exponential stability
type III thermoelasticity
well-posedness

Publisher link

10.1093/imamat/hxq016

Find It

Find It at U of M Libraries

Cite this

@article{3444611a303b448aabcf719ba12e6d3e,

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.",

keywords = "analyticity, exponential stability, type III thermoelasticity, well-posedness",

author = "Zhuangyi Liu and Ram{\'o}n Quintanilla",

year = "2010",

month = jun,

doi = "10.1093/imamat/hxq016",

language = "English (US)",

volume = "75",

pages = "356--365",

journal = "IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)",

issn = "0272-4960",

publisher = "Oxford University Press",

number = "3",

}

TY - JOUR

T1 - Analyticity of solutions in type III thermoelastic plates

AU - Liu, Zhuangyi

AU - Quintanilla, Ramón

PY - 2010/6

Y1 - 2010/6

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.

AB - 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.

KW - analyticity

KW - exponential stability

KW - type III thermoelasticity

KW - well-posedness

UR - http://www.scopus.com/inward/record.url?scp=77955162414&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77955162414&partnerID=8YFLogxK

U2 - 10.1093/imamat/hxq016

DO - 10.1093/imamat/hxq016

M3 - Article

AN - SCOPUS:77955162414

SN - 0272-4960

VL - 75

SP - 356

EP - 365

JO - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

JF - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

IS - 3

ER -

Analyticity of solutions in type III thermoelastic plates

Abstract

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this