On the Well-Posedness of an Inhomogeneous Boundary Value Problem for the Equations of Mixtures of Viscous Compressible Fluids

A. A. Zhalnina; N. A. Kucher

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On the Well-Posedness of an Inhomogeneous Boundary Value Problem for the Equations of Mixtures of Viscous Compressible Fluids

机译：关于粘性可压缩流体混合物方程的非齐次边值问题的适定性

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Under consideration is the inhomogeneous boundary value problem for the equations of a mixture of viscous compressible fluids modelling a steady flow around an obstacle. The statement of the problem presumes the possibility of varying the shape of obstacle. The well-posedness of such a problemin the class of strong solutions is proved. The results of the paper can be used for analyzing the optimal shape of an obstacle under a flow around it by a mixture of compressible viscous fluids.

机译：正在考虑的是粘性可压缩流体混合物方程的非均匀边界值问题，该方程模拟了障碍物周围的稳定流动。对问题的陈述假定有可能改变障碍物的形状。在强解类中证明了此类问题的适定性。本文的结果可用于分析可压缩粘性流体混合物在障碍物周围流动时的最佳形状。

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《Journal of applied and industrial mathematics》 |2015年第4期|共13页
作者
A. A. Zhalnina; N. A. Kucher;
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正文语种 eng
中图分类应用数学;
关键词
boundary value problem; mixture of viscous compressible fluids; strong solution; flow around an obstacle;

机译：边值问题;粘性可压缩流体的混合物;强解;障碍物周围的流动;

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1. On the Well-Posedness of an Inhomogeneous Boundary Value Problem for the Equations of Mixtures of Viscous Compressible Fluids [J] . A. A. Zhalnina, N. A. Kucher Journal of applied and industrial mathematics . 2015,第4期

机译：关于粘性可压缩流体混合物方程的非齐次边值问题的适定性
2. Unique solvability of initial-boundary value problem for a model system of equations for the polytropic motion of a mixture of viscous compressible fluids [J] . Д.А. ПРОКУДИН Sibirskie elektronnye matematicheskie izvestiia: Siberian Electronic Mathematical Reports . 2017,第23期

机译：粘性可压缩流体混合物的多向运动方程模型系统的初边值问题的独特可解性
3. Solvability of a Stationary Boundary Value Problem for a Model System of the Equations of Barotropic Motion of a Mixture of Compressible Viscous Fluids [J] . D. A. Prokudin, M.V. Krayushkina Journal of applied and industrial mathematics . 2016,第3期

机译：可压缩粘性流体混合物正压运动方程模型系统的平稳边值问题的可解性
4. Global solvability of the initial boundary value problem for a model system of one-dimensional equations of polytropic flows of viscous compressible fluid mixtures [C] . Dmitriy Prokudin All-Russian Conference with International Participation on Modern Problems of Continuum Mechanics and Explosion Physics . 2017

机译：粘性可压缩流体混合物多维方程模型系统的初步边值问题的全局可解性
5. APPLICATION OF MIXTURE THEORY TO FLUIDIZED BEDS (CONSTITUTIVE EQUATIONS, GRANULAR MATERIALS, FRAME-INDIFFERENCE, LINEARLY VISCOUS FLUID) [D] . MASSOUDI, MEHRDAD 1986

机译：混合理论在流化床（本构方程，颗粒材料，框架差异，线性黏性流体）中的应用
6. The Energy Equation for a Viscous Compressible Fluid [O] . H. J. Stewart 1942

机译：粘性可压缩流体的能量方程
7. Solvability of a regularized boundary-value problem for the system of equations of dynamics of mixtures of viscous compressible heat-conducting fluids [O] . D. A. Prokudin 2020

机译：粘性可压缩热导热液混合物动力学方程的正则边值问题的可解性
8. Initial Boundary Value Problems for the Equations of Motion of Compressible Viscous and Heat-Conductive Fluids [R] . Matsumura, A., Nishida, T. 1982

机译：可压缩粘性和导热流体运动方程的初边值问题

On the Well-Posedness of an Inhomogeneous Boundary Value Problem for the Equations of Mixtures of Viscous Compressible Fluids

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