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Finite Time Blowup for the Nematic Liquid Crystal Flow in Dimension Two
Communications on Pure and Applied Mathematics ( IF 3 ) Pub Date : 2021-04-29 , DOI: 10.1002/cpa.21993
Chen‐Chih Lai 1 , Fanghua Lin 2 , Changyou Wang 3 , Juncheng Wei 1 , Yifu Zhou 4
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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. © 2021 Wiley Periodicals LLC.

中文翻译:

二维向列液晶流动的有限时间爆破

我们考虑在有界光滑域Ω ⊂ ℝ 2 中简化的向列液晶流的初始边界值问题。给定域中的任何k 个不同点,我们开发了一种新的内外粘合方法来构建解决方案,当t进入有限时间T 时,这些解决方案恰好在那些k个点处爆炸。此外,我们获得了爆炸的精确描述。© 2021 威利期刊有限责任公司。
更新日期:2021-04-29
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