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
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)