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JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2014 Volume 17, Number 2, Pages 142–162 (Mi mt281)

This article is cited in 4 papers

On some inverse problems for a linearized system of heat and mass transfer

E. M. Korotkovaa, S. G. Pyatkovab

a Yugra State University, Khanty-Mansiysk, Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Abstract: In the article, we examine well-posedness of the problem on determining the source functions in a linearized system of heat and mass transfer. The overdetermination conditions are the values of concentrations on some surfaces or at separate points of the spatial domain.

Key words: parabolic system, inverse problem, heat and mass transfer, Navier–Stokes system, boundary value problem.

UDC: 517.956

Received: 02.06.2014


 English version:
Siberian Advances in Mathematics, 2015, 25:2, 110–123

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