Finite Time Blowup for the Nematic Liquid Crystal Flow in Dimension Two

Chen Chih Lai, Fanghua Lin, Changyou Wang, Juncheng Wei, Yifu Zhou

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the initial boundary value problem of a simplified nematic liquid crystal flow in a bounded, smooth domain Ω ⊂ ℝ2. Given any k distinct points in the domain, we develop a new inner-outer gluing method to construct solutions that blow up exactly at those k points as t goes to a finite time T. Moreover, we obtain a precise description of the blowup.

Original languageEnglish (US)
JournalCommunications on Pure and Applied Mathematics
DOIs
StateAccepted/In press - 2021

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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