数学物理学报 ›› 2022, Vol. 42 ›› Issue (4): 1027-1040.

• 论文 • 上一篇    下一篇

Cahn-Hilliard-Brinkman系统的全局吸引子

肖翔宇(),蒲志林*()   

  1. 四川师范大学 数学科学学院 成都 610066
  • 收稿日期:2021-09-09 出版日期:2022-08-26 发布日期:2022-08-08
  • 通讯作者: 蒲志林 E-mail:407044728@qq.com;puzhilinscnu@163.com
  • 作者简介:肖翔宇, E-mail: 407044728@qq.com

The Global Attractors of Cahn-Hilliard-Brinkman System

Xiangyu Xiao(),Zhilin Pu*()   

  1. School of Mathematical Science, Sichuan Normal University, Chengdu 610066
  • Received:2021-09-09 Online:2022-08-26 Published:2022-08-08
  • Contact: Zhilin Pu E-mail:407044728@qq.com;puzhilinscnu@163.com

摘要:

研究了具有一般非线性条件的Cahn-Hilliard-Brinkman系统的弱解的适定性, 分析了解的渐近性态, 并通过渐近能量估计得到在${H^s}(\Omega ){\kern 1pt} {\kern 1pt} (s = 1, 2, 3, 4)$中全局吸引子的存在性.

关键词: 适定性, 渐近性态, 全局吸引子

Abstract:

In this paper, we study the Well-posedness of weak solutions for Cahn-Hilliard-Brinkman system with general nonlinear conditions, analyze the asymptotic behavior of the solutions, and obtain the existence of global attractors in ${H^s}(\Omega ){\kern 1pt} {\kern 1pt} (s = 1, 2, 3, 4)$ in virtue of asymptotic energy estimates.

Key words: Well-posedness, Asymptotic behavior, Global attractor

中图分类号: 

  • O175.2