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Uniqueness and continuous dependence of solutions to a multidimensional thermoelastic contact problem (1994)

Ames, K. A. ; Payne, L. E.

Springer

Journal of elasticity 34 (1994), S. 139-148

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ISSN: 1573-2681

Keywords: 35B30 ; 35Q72 ; 73C15 ; 73T05

Source: Springer Online Journal Archives 1860-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics

Notes: Abstract Uniqueness and continuous dependence on the initial temperature are established for the solution of a multidimensional, quasistatic thermoelastic contact problem. The proof of this result does not depend on the ability to decouple the system of governing equations as required in the technique used by Shi and Shillor [European J. Appl. Math., 1990, 371–387] in the one dimensional analogue of this problem. Some extensions to other contact problems are suggested.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00041189

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