ON Lp ESTIMATES FOR A SIMPLIFIED ERICKSEN-LESLIE SYSTEM

作者:Huang, Jinrui; Wang, Wenjun; Wen, Huanyao*
来源:Communications on Pure and Applied Analysis, 2020, 19(3): 1485-1507.
DOI:10.3934/cpaa.2020075

摘要

In this paper, we study Cauchy problem for a simplified Ericksen-Leslie system in three dimensions. With the initial data of small perturbation near a steady state in H-2 norm, we obtain the global well-posedness of strong solutions as well as the L-p (p is an element of [1, 6]) estimates. In addition, sharper decay rates for the density and the momentum are obtained.