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Partial regularity criteria for suitable weak solutions of the three‐dimensional liquid crystals flow
Author(s) -
Yu Huan
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3856
Subject(s) - mathematics , vorticity , norm (philosophy) , flow (mathematics) , field (mathematics) , vector field , mathematical analysis , pure mathematics , vortex , geometry , mechanics , physics , law , political science
In this paper, we establish some new interior regularity criteria for suitable weak solutions of the liquid crystals flow in terms of the smallness of the scaled L p , q ‐norm of the velocity field or the vorticity, which extends the results by Scheffer in [ Communications in Mathematical Physics 1980; 73 :1–42]. Copyright © 2016 John Wiley & Sons, Ltd.