WELL-POSEDNESS AND SPACE-TIME REGULARITY OF SOLUTIONS TO THE LIQUID CRYSTAL EQUATIONS IN CRITICAL SPACE

• 作者: Congchong Guo
• 来源期刊: 应用数学年刊：英文版
• 学科: 数学
• 年，卷（期）: 2016,（4）
• 页码范围: 357-379
• 页数: 23页
• 分类号: O1

摘要

In this paper,we consider a hydrodynamic flow of nematic liquid crystal system.We prove the local well-posedness for the system in the critical Lebesgue space,and study the space-time regularity of the local solution.