Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (4)
- Authors
- Andreev, Victor K.; Efimova, Marina V.
- Contact information
- Andreev, Victor K.: Institute of computational modeling SB RAS Akademgorodok, 50/44, Krasnoyarsk, 660036 Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Efimova, Marina V.: Institute of computational modeling SB RAS Akademgorodok, 50/44, Krasnoyarsk, 660036 Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
- Keywords
- conjugate problem; inverse problem; a priori estimates; asymptotic behavior
- Abstract
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
- Pages
- 482–493
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/71746
Journal of Siberian Federal University. Mathematics & Physics / A Priori Estimates of the Adjoint Problem Describing the Slow Flow of a Binary Mixture and a Fluid in a Channel
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