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quasi-static problem

European Journal of Applied Mathematics (1)

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Regularity of a thermoelastic problem with variable parameters
P. BARRAL, M. C. NAYA-RIVEIRO, P. QUINTELA
Journal:

European Journal of Applied Mathematics / Volume 27 / Issue 2 / April 2016

Published online by Cambridge University Press:

19 October 2015, pp. 213-232
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This paper deals with a fully-coupled thermoelastic problem, in a heterogeneous medium, arising from the metallurgical industry. The aim is to prove regularity properties of the solution with respect to space and time. Regularity in space is obtained by means of regularity properties for elliptic operators. In order to prove regularity in time, a mathematical induction technique, together with an existence and uniqueness result for this type of problems, is applied.