EXISTENCE AND UNIQUENESS OF THE SOLUTION TO THE INITIAL BOUNDARY VALUE PROBLEM FOR ONE-DIMENSIONAL ISOTHERMAL EQUATIONS OF COMPRESSIBLE VISCOUS MULTICOMPONENT MEDIA DYNAMICS

被引：0

作者：

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

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

Zakora, D. A. ^{[3
]}

机构：

[1] Siberian State Univ Telecommun & Informat Sci, Fed State Inst Higher Educ, Chair Further Math, 86 St Kirova, Novosibirsk 630102, Russia

[2] Russian Acad Sci, Lavrentyev Inst Hydrodynam, Siberian Branch, 15 Pr Lavrenteva, Novosibirsk 630090, Russia

[3] VI Vernadsky Crimean Fed Univ, 4 Pr Vernadskogo, Simferopol 295007, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2025年 / 22卷 / 01期

关键词：

compressible viscous medium; multicomponent flows; viscosity matrix; boundary value problem; existence and uniqueness theorem; NAVIER-STOKES EQUATIONS; ASYMPTOTIC-BEHAVIOR; BAROTROPIC FLUID; GLOBAL EXISTENCE; WEAK SOLUTIONS; CAUCHY-PROBLEM; MULTI-FLUIDS; MOTION; MIXTURE; SOLVABILITY;

D O I：

10.33048/semi.2025.22.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An initial boundary value problem is considered for one-dimensional equations of the dynamics of compressible multicomponent media. A global theorem of existence and uniqueness of a strong solution is proved without restrictions on the structure of the viscosity matrix except for the standard properties of symmetry and positivity

引用

页码：354 / 384

页数：31

共 54 条

[1] SOLVABILITY IN THE LARGE OF A SYSTEM OF EQUATIONS OF THE ONE-DIMENSIONAL MOTION OF AN INHOMOGENEOUS VISCOUS HEAT-CONDUCTING GAS [J].