密度可变的不可压缩相场模型的强解

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-04-19 DOI:10.1007/s10255-024-1075-x

Ying-hua Li, Yong Wang, Han-bin Cai

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引用次数: 0

摘要

我们研究了具有可变密度的不可压缩纳维-斯托克斯-卡恩-希利亚德系统的初始边界值问题。我们证明了二维或三维局部强解的存在性和唯一性。此外，我们用速度最大规范平方的时间积分建立了一个二维炸毁准则。

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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Strong Solutions of an Incompressible Phase-field Model with Variable Density

We study the initial-boundary value problem of an incompressible Navier-Stokes-Cahn-Hilliard system with variable density. We prove the existence and uniqueness of the local strong solution in two or three dimensions. Moreover, we establish a two-dimensional blow-up criterion in terms of the temporal integral of the square of maximum norm of velocity.

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.