Strong solutions of the compressible nematic liquid crystal flow

作者：Huang, Tao; Wang, Changyou^*; Wen, Huanyao

来源：Journal of Differential Equations, 2012, 252(3): 2222-2265.

DOI：10.1016/j.jde.2011.07.036

• Compressible fluid
• Nematic liquid crystal flow
• Strong solutions
• Blow-up criterions

We study strong solutions of the simplified Ericksen-Leslie system modeling compressible nematic liquid crystal flows in a domain Omega subset of R-3. We first prove the local existence of a unique strong solution provided that the initial data rho(0), u(0), d(0) are sufficiently regular and satisfy a natural compatibility condition. The initial density function rho(0) may vanish on an open subset (i.e., an initial vacuum may exist). We then prove a criterion for possible breakdown of such a local strong solution

• 出版日期2012-2-1
• 单位华南师范大学