A Priori Estimates of the Adjoint Problem Describing the Slow Flow of a Binary Mixture and a Fluid in a Channel

We obtain a priori estimates of the solution in the uniform metric for a linear conjugate initial-boundary inverse problem describing the joint motion of a binary mixture and a viscous heat-conducting liquid in a plane channel. With their help, it is established that the solution of the non-stationa...

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Bibliographic Details
Published in:Journal of Siberian Federal University. Mathematics & Physics 2018-01, Vol.11 (4), p.482-493
Main Authors: Andreev, Victor K, Efimova, Marina V
Format: Article
Language:English
Subjects:
Heat transmission
Inverse problems
Online Access:Get full text
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Summary:We obtain a priori estimates of the solution in the uniform metric for a linear conjugate initial-boundary inverse problem describing the joint motion of a binary mixture and a viscous heat-conducting liquid in a plane channel. With their help, it is established that the solution of the non-stationary problem with time growth tends to a stationary solution according to the exponential law when the temperature on the channel walls stabilizes with time.
ISSN:1997-1397
2313-6022
DOI:10.17516/1997-1397-2018-11-4-482-493