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Thermoelastic Plate in Frictional Contact

G. Avalos, K. L. Kuttler and M. Shillor
Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie
Nouvelle Série, Vol. 48 (96), No. 2 (2005), pp. 103-118
Stable URL: http://www.jstor.org/stable/43678967
Page Count: 16
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Thermoelastic Plate in Frictional Contact
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Abstract

A model for dynamic frictional contact between a thermoelastic plate and a moving obstacle, which includes frictional heat generation, is presented. The obstacle may be reactive or rigid, and so contact is modeled by the normal compliance or the Signorini conditions. The existence of the unique weak solution for the problem with normal compliance is established by using approximations involving set-valued pseudo-monotone operators, a priori estimates, and Gronwall's inequality.

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