TY - JOUR
T1 - Finite Time Singularity of the Nematic Liquid Crystal Flow in Dimension Three
AU - Huang, Tao
AU - Lin, Fanghua
AU - Liu, Chun
AU - Wang, Changyou
N1 - Publisher Copyright:
© 2016, Springer-Verlag Berlin Heidelberg.
PY - 2016/9/1
Y1 - 2016/9/1
N2 - In this paper, we consider the initial and boundary value problem of a simplified nematic liquid crystal flow in dimension three and construct two examples of finite time singularity. The first example is constructed within the class of axisymmetric solutions, while the second example is constructed for any generic initial data (u0, d0) that has sufficiently small energy, and d0 has a nontrivial topology.
AB - In this paper, we consider the initial and boundary value problem of a simplified nematic liquid crystal flow in dimension three and construct two examples of finite time singularity. The first example is constructed within the class of axisymmetric solutions, while the second example is constructed for any generic initial data (u0, d0) that has sufficiently small energy, and d0 has a nontrivial topology.
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U2 - 10.1007/s00205-016-0983-1
DO - 10.1007/s00205-016-0983-1
M3 - Article
AN - SCOPUS:84959116920
SN - 0003-9527
VL - 221
SP - 1223
EP - 1254
JO - Archive for Rational Mechanics and Analysis
JF - Archive for Rational Mechanics and Analysis
IS - 3
ER -