Low frequency expansion in thermoelasticity with second sound in three dimensions

Yuka Naito; Reinhard Racke; Yoshihiro Shibata

doi:10.2969/jmsj/06241289

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Low frequency expansion in thermoelasticity with second sound in three dimensions

Yuka Naito, Reinhard Racke, Yoshihiro Shibata

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Keywords: thermoelasticity, exterior domain, resolvent expansion

JOURNAL FREE ACCESS

2010 Volume 62 Issue 4 Pages 1289-1316

DOI https://doi.org/10.2969/jmsj/06241289

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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.

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