密度可变的不可压缩相场模型的强解

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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