Low frequency expansion in thermoelasticity with second sound in three dimensions

被引：0

作者：

Naito, Yuka ^{[1
]}

Racke, Reinhard ^{[2
]}

Shibata, Yoshihiro ^{[1
]}

机构：

[1] Waseda Univ, Sch Sci & Engn, Dept Math Sci, Shinjuku Ku, Tokyo 1698555, Japan

[2] Univ Konstanz, Dept Math & Stat, D-78457 Constance, Germany

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2010年 / 62卷 / 04期

关键词：

thermoelasticity; exterior domain; resolvent expansion; DECAY;

D O I：

10.2969/jmsj/06241289

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1289 / 1316

页数：28

共 50 条

[1] ON A CONTACT PROBLEM IN THERMOELASTICITY WITH SECOND SOUND
Sprenger, Jan
QUARTERLY OF APPLIED MATHEMATICS, 2009, 67 (04) : 601 - 615
[2] Stability for a Transmission Problem in Thermoelasticity with Second Sound
Sare, Hugo D. Fernandez
Rivera, Jaime E. Munoz
Racke, Reinhard
JOURNAL OF THERMAL STRESSES, 2008, 31 (12) : 1170 - 1189
[3] Uniform Stability of Second Sound Thermoelasticity with Distributed Delay
Mustafa, Muhammad I.
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2021, 29 (03) : 597 - 608
[4] Uniform Stability of Second Sound Thermoelasticity with Distributed Delay
Muhammad I. Mustafa
Differential Equations and Dynamical Systems, 2021, 29 : 597 - 608
[5] Exponential decay for a strain gradient porous thermoelasticity with second sound
Ahmima, A.
Fareh, A.
ARMENIAN JOURNAL OF MATHEMATICS, 2022, 14 (03): : 1 - 23
[6] Global Solvability in Thermoelasticity with Second Sound on the Semi-Axis
Hu Yuxi
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2012, 25 (02): : 139 - 170
[7] FORMATION OF SINGULARITIES IN ONE-DIMENSIONAL THERMOELASTICITY WITH SECOND SOUND
Hu, Yuxi
Racke, Reinhard
QUARTERLY OF APPLIED MATHEMATICS, 2014, 72 (02) : 311 - 321
[8] GENERAL STABILITY IN MEMORY-TYPE THERMOELASTICITY WITH SECOND SOUND
Mustafa, Muhammad I.
DYNAMIC SYSTEMS AND APPLICATIONS, 2015, 24 (03): : 327 - 340
[9] Boundary stabilization of memory-type thermoelasticity with second sound
Muhammad I. Mustafa
Zeitschrift für angewandte Mathematik und Physik, 2012, 63 : 777 - 792
[10] Asymptotic behavior of discontinuities in thermoelasticity with second sound and variable coeffcients
Li, Zheng
Wang, Ya-Guang
Shanghai Jiaotong Daxue Xuebao/Journal of Shanghai Jiaotong University, 2010, 44 (06): : 849 - 854

← 1 2 3 4 5 →