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

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

doi:10.1002/cpa.21993

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

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

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	128-196
Number of pages	69
Journal	Communications on Pure and Applied Mathematics
Volume	75
Issue number	1
DOIs	https://doi.org/10.1002/cpa.21993
State	Published - Jan 2022

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1002/cpa.21993

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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.",

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AU - Zhou, Yifu

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

Abstract

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