Existence of Solutions of the Boundary Value Problem for the Equations of Barotropic Flows of a Multicomponent Medium. I. Statement of the Main Problem. Solvability of an Auxiliary Problem

IF 0.58 Q3 Engineering

Journal of Applied and Industrial Mathematics Pub Date : 2024-02-16 DOI:10.1134/S1990478923040105

A. E. Mamontov, D. A. Prokudin

引用次数: 0

Abstract

The problem of steady barotropic motion of a multicomponent medium consisting of viscous compressible fluids in a bounded domain of three-dimensional space is formulated. The viscosity matrices are assumed to be arbitrary (nondiagonal). The solvability of a regularized (approximate) problem is proved.

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多组分介质各向气压流动方程的边界值问题解的存在性。I. 主问题的陈述。辅助问题的可解性

摘要提出了由粘性可压缩流体组成的多组分介质在三维空间有界域中的稳定气压运动问题。假设粘度矩阵是任意的（非对角）。证明了正则化（近似）问题的可解性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.