A note on a global strong solution to the 2D Cauchy problem of density-dependent nematic liquid crystal flows with vacuum

作者：Zhong, Xin^*

来源：Comptes Rendus Mathematique, 2018, 356(5): 503-508.

DOI：10.1016/j.crma.2018.04.011

In Li-Liu-Zhong (Nonlinearity 30 (2017) 4062-4088), the authors proved the existence of a unique global strong solution to the Cauchy problem of 2D nonhomogeneous incompressible nematic liquid crystal flows with vacuum as far-field density provided the initial data density and the gradient of orientation decay not too slow at infinity, and the basic energy parallel to root rho(0)u(0)parallel to(2)(L2) + parallel to del d(0)parallel to(2)(L2) is small. In this note, we aim at precisely describing this smallness condition.

• 出版日期2018-5
• 单位西南大学