GALERKIN APPROXIMATIONS IN THE PROBLEM OF ONE-DIMENSIONAL UNSTEADY MOTION OF A VISCOUS COMPRESSIBLE TWO-COMPONENT FLUID

被引：0

作者：

Mamontov, A. E. ^{[1
,2
]}

Prokudin, D. A. ^{[1
,2
]}

机构：

[1] Lavrentyev Inst Hydrodynam, 15 Lavrenteva Ave, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, 1 Pirogova Str, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2020年 / 17卷

基金：

俄罗斯基础研究基金会;

关键词：

Galerkin approximations; non-stationary boundary value problem; one-dimensional flow; viscous compressible fluid; homogeneous multi-velocity multifluid;

D O I：

10.33048/semi.2020.17.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study an initial-boundary value problem which describes unsteady motions of a viscous compressible two-component fluid. We formulate an approximate problem via the Galerkin method, and prove its solvability.

引用

页码：406 / 415

页数：10

共 50 条

[1] PASSAGE TO THE LIMIT IN THE GALERKIN APPROXIMATIONS OF THE REGULARIZED PROBLEM OF THREE-DIMENSIONAL UNSTEADY MOTION OF A VISCOUS COMPRESSIBLE HEAT-CONDUCTING MULTIFLUID
Mamontov, A. E.
Prokudin, D. A.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2020, 17 : 227 - 259
[2] Solubility of unsteady equations of the three-dimensional motion of two-component viscous compressible heat-conducting fluids
Mamontov, A. E.
Prokudin, D. A.
IZVESTIYA MATHEMATICS, 2021, 85 (04) : 755 - 812
[3] ON AN INVARIANT TRANSFORMATION OF EQUATIONS OF ONE-DIMENSIONAL UNSTEADY MOTION OF AN IDEAL COMPRESSIBLE FLUID
MOVSESIAN, LA
JOURNAL OF APPLIED MATHEMATICS AND MECHANICS-USSR, 1967, 31 (01): : 137 - +
[4] THE CAUCHY PROBLEM FOR ONE-DIMENSIONAL FLOW OF A COMPRESSIBLE VISCOUS FLUID: STABILIZATION OF THE SOLUTION
Mujakovic, Nermina
Drazic, Ivan
GLASNIK MATEMATICKI, 2011, 46 (01) : 215 - 231
[5] ON THE EQUATIONS OF ONE-DIMENSIONAL MOTION OF COMPRESSIBLE VISCOUS FLUIDS
OKADA, M
KAWASHIMA, S
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1983, 23 (01): : 55 - 71
[6] One-dimensional unsteady fluid motion between two infinite walls
Lemdiasov, RA
Tenishev, VM
Fedoseyev, AI
PHYSICS OF FLUIDS, 2002, 14 (07) : 2572 - 2574
[7] Uniqueness Of A Solution Of The Cauchy Problem For One-Dimensional Compressible Viscous Micropolar Fluid Model
Mujakovic, Nermina
APPLIED MATHEMATICS E-NOTES, 2006, 6 : 113 - 118
[8] One-Dimensional Compressible Viscous Micropolar Fluid Model: Stabilization of the Solution for the Cauchy Problem
Mujakovic, Nermina
BOUNDARY VALUE PROBLEMS, 2010,
[9] One-Dimensional Compressible Viscous Micropolar Fluid Model: Stabilization of the Solution for the Cauchy Problem
Nermina Mujaković
Boundary Value Problems, 2010
[10] ON THE PERIODIC-SOLUTIONS OF THE PROBLEM OF THE ONE-DIMENSIONAL UNSTEADY MOTION OF A FLUID IN A TUBE
KOCHINA, NN
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1993, 57 (05): : 947 - 952

← 1 2 3 4 5 →