ASYMPTOTIC BEHAVIOR OF THE SOLUTION TO THE INITIAL BOUNDARY VALUE PROBLEM OF ONE-DIMENSIONAL MOTION OF A VISCOUS BAROTROPIC MULTICOMPONENT MIXTURE

被引：0
|
作者：
Mamontov, A. E. [1 ]
Prokudin, D. A. [2 ]
机构：
[1] RAS, SB, Lavrentyev Inst Hydrodynam, Pr Lavrenteva 15, Novosibirsk 630090, Russia
[2] Univ Telecommun & Informat Sci, Fed State Inst Higher Educ Siberian State, St Kirova 86, Novosibirsk 630102, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2023年 / 20卷 / 02期
关键词：
barotropic flow; viscous compressible multifluid; viscosity matrix; stabilization of solution; UNIQUE SOLVABILITY; WEAK SOLUTIONS; EQUATIONS; STABILIZATION; SYSTEM; FLUID; FLOWS;
D O I：
10.33048/semi.2023.20.092
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The asymptotic behavior (as t -> +infinity) of the solution to the initial-boundary value problem is analyzed for the system of differential equations describing the barotropic dynamics of a viscous multifluid with a non-diagonal, symmetric and positive definite viscosity matrix, in the case of one spatial variable. New a priori estimates are obtained and stabilization of the solution to the initial-boundary value problem is proved.
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页码：1490 / 1498
页数：9
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