Affiliation:
1. College of Mathematics Changchun Normal University Changchun China
2. School of Mathematics Jilin University Changchun China
3. School of Science Hainan University Haikou China
Abstract
In this paper, we concern the Cauchy problem of two‐dimensional (2D) compressible nematic liquid crystal flows with vacuum as far‐field density. Under a geometric condition for the initial orientation field, we establish a blowup criterion in terms of the integrability of the density for strong solutions to the compressible nematic liquid crystal flows. This criterion generalizes previous results of compressible nematic liquid crystal flows with vacuum, which concludes the initial boundary problem and Cauchy problem.
Funder
National Natural Science Foundation of China
Postdoctoral Science Foundation of Jiangsu Province
Subject
General Engineering,General Mathematics