Global estimates and solvability of the regularized problem about three-dimensional non-stationary motion of viscous compressible heat-conducting multi-component liquid

被引：2
作者：
Mamontov, A. E. [1 ]
Prokudin, D. A. [1 ]
机构：
[1] Lavrentyev Inst Hydrodynam, 15 Lavrenteva Ave, Novosibirsk 630090, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2019年 / 16卷
关键词：
global existence theorem; unsteady boundary value problem; three-dimensional flow; viscous compressible fluid; homogeneous mixture with multiple velocities and one temperature; heat-conductive fluid; BOUNDARY-VALUE-PROBLEM; ONE-DIMENSIONAL EQUATIONS; POLYTROPIC MOTION; UNIQUE SOLVABILITY; MODEL SYSTEM; MULTI-FLUIDS; MIXTURES; SOLUBILITY; EXISTENCE; FLOWS;
D O I：
10.33048/semi.2019.16.036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the initial-boundary value problem which describes unsteady motions of a viscous compressible heat-conducting multifluid in a bounded three-dimensional domain. Viscosity matrices which characterize viscous friction inside and between the multifluid constituents are supposed to have a general form (except the requirement of positive definiteness). The regularized boundary value problem is formulated and its global solvability is proved.
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页码：547 / 590
页数：44
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