Kavli Affiliate: Yi Zhou
| First 5 Authors: Ning-An Lai, Jie Shao, Yi Zhou, ,
| Summary:
In this paper, we are devoted to studying the global regularity for the skew
mean curvature flow with small initial data in $mathbb{R}^d, (dgeq 4)$. By
using a new div-curl lemma which was first introduced by the third author to
establish a bilinear estimate, and also the interaction Morawetz estimate, the
global well-posedness for the skew mean curvature flow in the critical Besov
space is established, and hence the corresponding result obtained by Huang, Li
and Tataru (Int. Math. Res. Not. 2024, no. 5, 3748-3798) is substantially
improved.
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