Singularity and existence for a wave system of nematic liquid crystals

Geng Chen, Yuxi Zheng

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this paper, we prove the global existence and singularity formation for a wave system modeling nematic liquid crystals in one space dimension. In our model, although the viscous damping term is included, the solution with smooth initial data still has gradient blowup in general, even when the initial energy is arbitrarily small.

Original languageEnglish (US)
Pages (from-to)170-188
Number of pages19
JournalJournal of Mathematical Analysis and Applications
Volume398
Issue number1
DOIs
StatePublished - Feb 1 2013

Fingerprint

Damping Term
Nematic liquid crystals
Nematic Liquid Crystal
System Modeling
Global Existence
Blow-up
Damping
Singularity
Gradient
Energy
Model

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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title = "Singularity and existence for a wave system of nematic liquid crystals",
abstract = "In this paper, we prove the global existence and singularity formation for a wave system modeling nematic liquid crystals in one space dimension. In our model, although the viscous damping term is included, the solution with smooth initial data still has gradient blowup in general, even when the initial energy is arbitrarily small.",
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Singularity and existence for a wave system of nematic liquid crystals. / Chen, Geng; Zheng, Yuxi.

In: Journal of Mathematical Analysis and Applications, Vol. 398, No. 1, 01.02.2013, p. 170-188.

Research output: Contribution to journalArticle

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AU - Zheng, Yuxi

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