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发布时间：2019-03-12

论文类型：期刊论文

发表时间：2018-07-15

发表刊物：MATHEMATICAL METHODS IN THE APPLIED SCIENCES

收录刊物：SCIE

卷号：41

期号：10

页面范围：3672-3683

ISSN号：0170-4214

关键字：backward uniqueness; liquid crystals system; regularity criterion

摘要：In this paper, we consider the endpoint case regularity for the 3D liquid crystals system. We prove that if vL(0,T;L3(R3)), then weak solution (v,d) is smooth, and our main observation is that the condition delta dL(0,T;L3(R3)) is not necessary in this situation. The proof is based on the blow-up analysis and backward uniqueness for the parabolic operator developed by Escauriaza-Seregin-Sverak.