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On the well‐posedness for the heat flow of harmonic maps and the hydrodynamic flow of nematic liquid crystals in critical spaces
Authors:Junyu Lin  Shijin Ding
Affiliation:1. Department of Mathematics, South China University of Technology, , Guangzhou, Guangdong, 510640 China;2. School of Mathematical Sciences, South China Normal University, , Guangzhou, Guangdong, 510631 China
Abstract:In recent paper, we prove the well‐posedness for the heat flow of harmonic maps with initial data urn:x-wiley:01704214:media:mma1548:mma1548-math-0001 and for the hydrodynamic flow of nematic liquid crystals with initial data urn:x-wiley:01704214:media:mma1548:mma1548-math-0002. Copyright © 2011 John Wiley & Sons, Ltd.
Keywords:heat flow  harmonic maps  liquid crystals  existence  critical spaces
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