Low frequency expansion in thermoelasticity with second sound in three dimensions

Yuka Naito; Reinhard Racke; Yoshihiro Shibata

doi:10.2969/jmsj/06241289

Low frequency expansion in thermoelasticity with second sound in three dimensions

Yuka Naito^*, Reinhard Racke, Yoshihiro Shibata

^*Corresponding author for this work

School of Fundamental Science and Engineering

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

Abstract

We consider the initial-boundary value problem in hyperbolic thermoelasticity with second sound in a three-dimensional exterior domain. The low frequency expansion of solutions to the corresponding stationary resolvent problem is given and the limit to the classical thermoelastic problem is investigated.

Original language	English
Pages (from-to)	1289-1316
Number of pages	28
Journal	Journal of the Mathematical Society of Japan
Volume	62
Issue number	4
DOIs	https://doi.org/10.2969/jmsj/06241289
Publication status	Published - 2010 Oct

Keywords

Exterior domain
Resolvent expansion
Thermoelasticity

ASJC Scopus subject areas

Mathematics(all)

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10.2969/jmsj/06241289

Cite this

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title = "Low frequency expansion in thermoelasticity with second sound in three dimensions",

abstract = "We consider the initial-boundary value problem in hyperbolic thermoelasticity with second sound in a three-dimensional exterior domain. The low frequency expansion of solutions to the corresponding stationary resolvent problem is given and the limit to the classical thermoelastic problem is investigated.",

keywords = "Exterior domain, Resolvent expansion, Thermoelasticity",

author = "Yuka Naito and Reinhard Racke and Yoshihiro Shibata",

year = "2010",

month = oct,

doi = "10.2969/jmsj/06241289",

language = "English",

volume = "62",

pages = "1289--1316",

journal = "Journal of the Mathematical Society of Japan",

issn = "0025-5645",

publisher = "Mathematical Society of Japan - Kobe University",

number = "4",

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TY - JOUR

T1 - Low frequency expansion in thermoelasticity with second sound in three dimensions

AU - Naito, Yuka

AU - Racke, Reinhard

AU - Shibata, Yoshihiro

PY - 2010/10

Y1 - 2010/10

N2 - We consider the initial-boundary value problem in hyperbolic thermoelasticity with second sound in a three-dimensional exterior domain. The low frequency expansion of solutions to the corresponding stationary resolvent problem is given and the limit to the classical thermoelastic problem is investigated.

AB - We consider the initial-boundary value problem in hyperbolic thermoelasticity with second sound in a three-dimensional exterior domain. The low frequency expansion of solutions to the corresponding stationary resolvent problem is given and the limit to the classical thermoelastic problem is investigated.

KW - Exterior domain

KW - Resolvent expansion

KW - Thermoelasticity

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U2 - 10.2969/jmsj/06241289

DO - 10.2969/jmsj/06241289

M3 - Article

AN - SCOPUS:79251539865

SN - 0025-5645

VL - 62

SP - 1289

EP - 1316

JO - Journal of the Mathematical Society of Japan

JF - Journal of the Mathematical Society of Japan

IS - 4

ER -

Low frequency expansion in thermoelasticity with second sound in three dimensions

Abstract

Keywords

ASJC Scopus subject areas

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