We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Liquid Crystal Flows in Two Dimensions.
- Authors
Fanghua Lin; Junyu Lin; Changyou Wang
- Abstract
This paper is concerned with a simplified hydrodynamic equation, proposed by Ericksen and Leslie, modeling the flow of nematic liquid crystals. In dimension two, we establish both interior and boundary regularity theorems for such a flow under smallness conditions. As a consequence, we establish the existence of global (in time) weak solutions on a bounded smooth domain in $${\mathbb{R}^2}$$ which are smooth everywhere with possible exceptions of finitely many singular times.
- Subjects
HYDRODYNAMICS; LIQUID crystals; CRYSTALLOGRAPHY; BOUNDARY value problems; CRYSTALS
- Publication
Archive for Rational Mechanics & Analysis, 2010, Vol 197, Issue 1, p297
- ISSN
0003-9527
- Publication type
Article
- DOI
10.1007/s00205-009-0278-x