Energy bounds for some non-standard problems in thermoelasticity-Reference-Cited by-同舟云学术

Energy bounds for some non-standard problems in thermoelasticity

Published:2005-04-08 Issue:2056 Volume:461 Page:1147-1162
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Quintanilla R¹²,Straughan B¹²

Affiliation:

1. Departamento Matematica Aplicada 2, E.T.S. d'Enginyers Industrials de, Universidad Politecnica de Catalunya, Colón 11, Terrassa, 08222 Barcelona, Spain and

2. Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, UK

Abstract

A.E. Green F.R.S. and P.M. Naghdi developed two theories of thermoelasticity, called type II and type III, which are likely to be more natural candidates for the identification of a thermoelastic body than the usual theory. We here derive energy bounds for a class of problem in which the ‘initial data’ are given as a combination of data at time t =0 and at a later time t = T . Such problems are in vogue in the mathematical literature and may be used, for example, to give estimates of solution behaviour in an improperly posed problem where one wishes to continue a solution backward in time.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2004.1381

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