Local Well-posedness of Skew Mean Curvature Flow for Small Data in d≥4 Dimensions
Time: 2020-11-04
Published By: He Liu
Speaker(s): Jiaxi Huang（BICMR）
Time: 15:00-16:00 November 23, 2020
Venue: Room 9, Quan Zhai, BICMR
The skew mean curvature flow is an evolution equation for $d$ dimensional manifolds embedded in $\R^{d+2}$ (or more generally, in a Riemannian manifold). It can be viewed as a Schr\"odinger analogue of the mean curvature flow, or alternatively as a quasilinear version of the Schr\"odinger Map equation. In this talk, we prove small data local well-posedness in low-regularity Sobolev spaces for skew mean curvature flow in dimension $d\geq 4$. This is based on joint work with Daniel Tataru.
