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- Title
Endpoint regularity criterion for weak solutions of the 3D incompressible liquid crystals system.
- Authors
Men, Yueyang; Wang, Wendong; Wu, Gang
- Abstract
In this paper, we consider the endpoint case regularity for the 3D liquid crystals system. We prove that if v ∈ L ∞ ( 0 , T ; L 3 ( R 3 ) ), then weak solution (v,d) is smooth, and our main observation is that the condition ∇ d ∈ L ∞ ( 0 , T ; L 3 ( R 3 ) ) 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‐S̆verák.
- Subjects
LIQUID crystals; PARABOLIC operators; FLOW velocity; VISCOSITY solutions; MATHEMATICAL proofs
- Publication
Mathematical Methods in the Applied Sciences, 2018, Vol 41, Issue 10, p3672
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.4854