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Global Unique Solvability of an Initial-Boundary Value Problem for the One-Dimensional Barotropic Equations of Binary Mixtures of Viscous Compressible Fluids
Journal of Applied and Industrial Mathematics Pub Date : 2021-04-22 , DOI: 10.1134/s1990478921010051 A. E. Mamontov , D. A. Prokudin
中文翻译:
粘性可压缩流体二元混合物一维正压方程初边值问题的整体唯一可解性
更新日期:2021-04-22
Journal of Applied and Industrial Mathematics Pub Date : 2021-04-22 , DOI: 10.1134/s1990478921010051 A. E. Mamontov , D. A. Prokudin
Abstract
We consider the equations of a multivelocity model of a binary mixture of viscous compressible fluids (the two-fluid medium) in the case of one-dimensional barotropic motions. We prove the time global existence and uniqueness of a strong solution to the initial-boundary value problem describing the motion in a bounded space domain.
中文翻译:
粘性可压缩流体二元混合物一维正压方程初边值问题的整体唯一可解性
摘要
我们考虑一维正压运动情况下粘性可压缩流体(两种流体介质)的二元混合物的多速度模型的方程。我们证明了时间全局存在性和唯一性,它是描述有界空间域中运动的初边值问题的有力解决方案。