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  1. ; ; (, International Mathematics Research Notices)
    Abstract The skew mean curvature flow is an evolution equation for a $$d$$ dimensional manifold immersed into $$\mathbb {R}^{d+2}$$, and which moves along the binormal direction with a speed proportional to its mean curvature. In this article, we prove small data global regularity in low-regularity Sobolev spaces for the skew mean curvature flow in dimensions $$d\geq 4$$. This extends the local well-posedness result in [7]. 
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  2. ; ; ; ; ; ; ; ; ; ; et al (, Light: Science & Applications)
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