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A hyperbolic—parabolic system modelling the thermoelastic impact of two rods

✍ Scribed by Kevin T. Andrews; Meir Shillor; Steve Wright

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
766 KB
Volume
17
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The dynamic thermoelastic impact of two rods is modelled by a coupled system of two quasivariational inequalities and two equalities that reflect a bilateral contact condition and a radiation condition for the temperatures. The existence of a weak solution is established using a penalization method that employs Galerkin approximations and a priori estimates.

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