Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Steady time-harmonic oscillations in a linear thermoelastic plate model

Authors: Peter Schiavone and R. J. Tait
Journal: Quart. Appl. Math. 53 (1995), 215-223
MSC: Primary 35Q72; Secondary 73B30, 73D30, 73K10
DOI: https://doi.org/10.1090/qam/1330649
MathSciNet review: MR1330649
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Abstract: We examine the bending of a Mindlin-type thermoelastic plate when the source terms are time-harmonic with angular frequency $ \omega $, and sufficient time has elapsed for the system to have reached a steady-state. We show that in an infinite plate the solution can be represented as the sum of five waves all but one of which exhibit damping. By formulating appropriate radiation conditions we prove uniqueness results for exterior boundary value problems subject to certain regularity assumptions and a condition on the angular frequency of oscillation.

References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/qam/1330649
Article copyright: © Copyright 1995 American Mathematical Society

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