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Existence of Global Weak Solutions for Coupled Thermoelasticity under Non-Linear Boundary Conditions

✍ Scribed by Marian Bien

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 488 KB
Volume: 19
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19961110)19:16<1265::aid-mma757>3.0.co;2-l

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✦ Synopsis

Communicated by B. Brosowski

The existence of global weak solutions for coupled thermoelasticity with non-linear contact boundary conditions corresponding to the friction problem is considered. The time-continuous Galerkin method and a priori estimates obtained with Gronwall's inequality in connection with embedding theorems are applied to accomplish a straightforward generalization of one of the results proved by Martins and Oden 9.

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