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Global regularity for the incompressible 2D generalized liquid crystal model with fractional diffusions
Journal article   Open access  Peer reviewed

Global regularity for the incompressible 2D generalized liquid crystal model with fractional diffusions

Yanan Wang, Yong Zhou, Ahmed Alsaedi, Tasawar Hayat and Zaihong Jiang
Applied mathematics letters, Vol.35(1), pp.18-23
01/09/2014
DOI: https://doi.org/10.1016/j.aml.2014.03.014

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we consider the global regularity for the 2D generalized liquid crystal model with the fractional diffusion term -Lambda(2 alpha)u for the velocity field and -Lambda(2 beta)d for the vector field modeling the orientation of the crystal molecules. Global existence of smooth solutions is proved for the case alpha = 0, beta > 1. (C) 2014 Elsevier Ltd. All rights reserved.
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https://doi.org/10.1016/j.aml.2014.03.014View
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