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Global regularity for the 2D liquid crystal model with mixed partial viscosity
Journal article   Peer reviewed

Global regularity for the 2D liquid crystal model with mixed partial viscosity

Jishan Fan, Faris Saeed Alzahrani, Tasawar Hayat, Gen Nakamura and Yong Zhou
Analysis and applications, Vol.13(2), pp.185-200
03/2015
DOI: https://doi.org/10.1142/S0219530514500481

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This paper proves the global existence of strong solutions of the 2D liquid crystal model when nu(1) = k(2) = 0, nu(2) = k(1) = 1 or nu(1) = k(2) = 1, nu(2) = k(1) = 0. We also prove some regularity criteria when nu(1) = k(1) = 1, nu(2) = k(2) = 0 or nu(1) = k(1) = 0, nu(2) = k(2) = 1.

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