Global regularity for the 2D liquid crystal model with mixed partial viscosity
Global regularity for the 2D liquid crystal model with mixed partial viscosity
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DOI：
10.1142/s0219530514500481
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发表时间：
2015-03
影响因子：
2.2
通讯作者：
Jishan Fan;F. Alzahrani;T. Hayat;G. Nakamura;Yong Zhou
中科院分区：
文献类型：
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作者：
Jishan Fan;F. Alzahrani;T. Hayat;G. Nakamura;Yong Zhou
本文证明了ν1 = k2 = 0、ν2 = k1 = 1或ν1 = k2 = 1、ν2 = k1 = 0时二维液晶模型强解的整体存在性。我们还证明了ν1 = k1 = 1, ν2 = k2 = 0或ν1 = k1 = 0, ν2 = k2 = 1时的正则性准则。
This paper proves the global existence of strong solutions of the 2D liquid crystal model when ν1 = k2 = 0, ν2 = k1 = 1 or ν1 = k2 = 1, ν2 = k1 = 0. We also prove some regularity criteria when ν1 = k1 = 1, ν2 = k2 = 0 or ν1 = k1 = 0, ν2 = k2 = 1.