Finite Time Singularity of the Nematic Liquid Crystal Flow in Dimension Three

Tao Huang, Fanghua Lin, Chun Liu, Changyou Wang

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1223-1254
Number of pages32
JournalArchive for Rational Mechanics and Analysis
Volume221
Issue number3
DOIs
StatePublished - Sep 1 2016

Fingerprint

Finite-time Singularities
Nematic liquid crystals
Initial value problems
Nematic Liquid Crystal
Boundary value problems
Initial Value Problem
Three-dimension
Boundary Value Problem
Topology
Energy
Class

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

Cite this

Huang, Tao ; Lin, Fanghua ; Liu, Chun ; Wang, Changyou. / Finite Time Singularity of the Nematic Liquid Crystal Flow in Dimension Three. In: Archive for Rational Mechanics and Analysis. 2016 ; Vol. 221, No. 3. pp. 1223-1254.
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Finite Time Singularity of the Nematic Liquid Crystal Flow in Dimension Three. / Huang, Tao; Lin, Fanghua; Liu, Chun; Wang, Changyou.

In: Archive for Rational Mechanics and Analysis, Vol. 221, No. 3, 01.09.2016, p. 1223-1254.

Research output: Contribution to journalArticle

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