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

Tao Huang, Fang-Hua Lin, Chun Liu, Changyou Wang

Research output: Contribution to journalArticle

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 (Formula presented.) that has sufficiently small energy, and (Formula presented.) has a nontrivial topology.

Original languageEnglish (US)
Pages (from-to)1-32
Number of pages32
JournalArchive for Rational Mechanics and Analysis
DOIs
StateAccepted/In press - Feb 22 2016

Fingerprint

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

ASJC Scopus subject areas

  • Analysis
  • Mechanical Engineering
  • Mathematics (miscellaneous)

Cite this

Finite Time Singularity of the Nematic Liquid Crystal Flow in Dimension Three. / Huang, Tao; Lin, Fang-Hua; Liu, Chun; Wang, Changyou.

In: Archive for Rational Mechanics and Analysis, 22.02.2016, p. 1-32.

Research output: Contribution to journalArticle

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