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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2015 Volume 21, Number 1, Pages 205–212 (Mi timm1157)

The calculation of the thermal field of massive bodies moving band heat source

I. V. Pershin

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: Considered the second boundary value problem of the heating of a massive body of highly concentrated moving strip source heat a large capacity. Built the major members of the interior and exterior asymptotic expansions of solutions, investigated the behavior of this solution in the the area of influence of a heat source.

Keywords: boundary value problems for partial differential equations; asymptotics of a solution.

UDC: 517.977


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2016, 293, suppl. 1, S166–S173

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