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一类Cahn-Hilliard-Navier-Stokes-Oono方程组的Cauchy问题

张雪 赵晓朋

曲阜师范大学学报(自然科学版)2026,Vol.52Issue(1):67-72,6.
曲阜师范大学学报(自然科学版)2026,Vol.52Issue(1):67-72,6.DOI:10.3969/j.issn.1001-5337.202312.151

一类Cahn-Hilliard-Navier-Stokes-Oono方程组的Cauchy问题

The Cauchy problem for a class of Cahn-Hilliard-Navier-Stokes-Oono system

张雪 1赵晓朋1

作者信息

  • 1. 东北大学理学院,110004,辽宁省沈阳市
  • 折叠

摘要

Abstract

The Cauchy problem for the Cahn-Hilliard-Navier-Stokes-Oono system associated with diffu-sive motion at the interface of a two-phase fluid is investigated.Using the energy estimate combined with the negative Sobolev norm estimates,the existence of global strong solutions for the system provided the initial data is sufficiently small is proved and the decay estimate of the higher order derivatives of the strong solution is also obtained.

关键词

Cahn-Hilliard-Navier-Stokes-Oono方程组/能量估计/Cauchy问题

Key words

Cahn-Hilliard-Navier-Stokes-Oono equations/energy estimate/Cauchy problem

分类

数理科学

引用本文复制引用

张雪,赵晓朋..一类Cahn-Hilliard-Navier-Stokes-Oono方程组的Cauchy问题[J].曲阜师范大学学报(自然科学版),2026,52(1):67-72,6.

基金项目

中央高校基本科研业务费专项(N2005006). (N2005006)

曲阜师范大学学报(自然科学版)

1001-5337

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