RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Guidelines for authors Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 J. Sib. Fed. Univ. Math. Phys.: Year: Volume: Issue: Page: Find

 J. Sib. Fed. Univ. Math. Phys., 2018, Volume 11, Issue 4, Pages 482–493 (Mi jsfu681)

A priori estimates of the adjoint problem describing the slow flow of a binary mixture and a fluid in a channel

Victor K. Andreevab, Marina V. Efimovaba

a Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
b Institute of Computational Modeling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, 660036, Russia

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.

Keywords: conjugate problem, inverse problem, a priori estimates, asymptotic behavior.

 Funding Agency Grant Number Russian Foundation for Basic Research 17-01-00229_à The work received financial support from RFBR (project 17-01-00229).

DOI: https://doi.org/10.17516/1997-1397-2018-11-4-482-493

Full text: PDF file (131 kB)
References: PDF file   HTML file

Bibliographic databases:

UDC: 517.9
Accepted: 25.06.2018
Language:

Citation: Victor K. Andreev, Marina V. Efimova, “A priori estimates of the adjoint problem describing the slow flow of a binary mixture and a fluid in a channel”, J. Sib. Fed. Univ. Math. Phys., 11:4 (2018), 482–493

Citation in format AMSBIB
\Bibitem{AndEfi18} \by Victor~K.~Andreev, Marina~V.~Efimova \paper A priori estimates of the adjoint problem describing the slow flow of a binary mixture and a fluid in a channel \jour J. Sib. Fed. Univ. Math. Phys. \yr 2018 \vol 11 \issue 4 \pages 482--493 \mathnet{http://mi.mathnet.ru/jsfu681} \crossref{https://doi.org/10.17516/1997-1397-2018-11-4-482-493} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000442257900010}