Global m-Equivariant Solutions of Nematic Liquid Crystal Flows in Dimension Two
Sign Up to like & getrecommendations! Published in 2017 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-017-1144-x
Abstract: AbstractIn this article we construct a global solution of the simplified Ericksen-Leslie system. We show that the velocity of the solution can be decomposed into the sum of three parts. The main flow is governed… read more here.
Keywords: rightarrow infty; solutions nematic; global equivariant; equivariant solutions ... See more keywords
Time decay rate of global strong solutions to nematic liquid crystal flows in R+3
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.02.021
Abstract: In this paper, we obtain optimal time-decay rates in $L^r(\mathbb R^3_+)$ for $r\ge 1$ of global strong solutions to the nematic liquid crystal flows in $\mathbb R^3_+$, provided the initial data has small $L^3(\mathbb R^3_+)$-norm. read more here.
Keywords: nematic liquid; global strong; time decay; liquid crystal ... See more keywords