Finite Time Blowup for the Nematic Liquid Crystal Flow in Dimension Two
Finite Time Blowup for the Nematic Liquid Crystal Flow in Dimension Two
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DOI：
10.1002/cpa.21993
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发表时间：
2019-08
影响因子：
3
通讯作者：
Chen-Chih Lai;F. Lin;Changyou Wang;Juncheng Wei;Yifu Zhou
中科院分区：
文献类型：
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作者：
Chen-Chih Lai;F. Lin;Changyou Wang;Juncheng Wei;Yifu Zhou
我们考虑了有界光滑区域Ω⊂ℝ2中简化的向列相液晶流动的初边值问题。给定区域中任意k个不同的点，我们发展了一种新的内外粘合方法来构造解，这些解在这k个点上精确地在t到有限时间T处爆破，并且我们得到了爆破的精确描述。©2021威利期刊有限责任公司。
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.