Year: 2014
Author: Zujin Zhang
Journal of Partial Differential Equations, Vol. 27 (2014), Iss. 3 : pp. 245–250
Abstract
In this paper, we consider the Cauchy problem for the model of liquid crystal. We show that if the velocity field u satisfies $$∂_3u∈L^p(0,T;L^q(\mathbb{R}^3)), \frac{2}{p}+\frac{3}{q}+=1+\frac{1}{q}, 2 ‹ q ≤ ∞,$$ then the solution is in fact smooth.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v27.n3.5
Journal of Partial Differential Equations, Vol. 27 (2014), Iss. 3 : pp. 245–250
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: Liquid crystals