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Southeastern-Atlantic Regional Conference on Differential Equations
October 19-20, 2007
Murray State University
Murray, Kentucky, USA

Organizers
K. Renee Fister, Maeve McCarthy

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Energy balance for dynamic contact with Signorini's condition and slip rate dependent friction.
by
Ted Wendt
The University of Iowa

Kuttler and Shillor [EJDE vol. 2004, no. 83] show existence results for dynamic frictional contact between a viscoelastic body and a rigid foundation with Signorini conditions for normal contact forces and a nonlocal Coulomb frictional law. However, they do not establish any results regarding energy. We show that their solutions are not only dissipative, but also that the energy lost can be accounted for by viscous and Coulomb friction losses.

Date received: September 20, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavc-29.