可压缩纳维-斯托克斯/阿伦-卡恩耦合系统的全局球对称解

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2024-04-15 DOI:10.1007/s10114-024-3399-0

Chang Ming Song, Jian Lin Zhang, Yuan Yuan Wang

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引用次数: 0

摘要

本文考虑了描述两相粘性可压缩流体运动的耦合可压缩纳维-斯托克斯/阿伦-卡恩系统的初始边界值问题的全局球面对称解。我们证明了在初始数据 ρ0 无真空状态的球面对称条件假设下，全局经典解、弱解和强解的存在性和唯一性。

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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Global Spherically Symmetric Solutions for a Coupled Compressible Navier–Stokes/Allen–Cahn System

In this paper, we consider the global spherically symmetric solutions for the initial boundary value problem of a coupled compressible Navier–Stokes/Allen–Cahn system which describes the motion of two-phase viscous compressible fluids. We prove the existence and uniqueness of global classical solution, weak solution and strong solution under the assumption of spherically symmetry condition for initial data ρ₀ without vacuum state.

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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.