Abstract: 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 discuss the well-posedness and long time behaviors in low-regularity Sobolev spaces for skew mean curvature flow. This is based on joint work with Ze Li and Daniel Tataru.
腾讯会议：768-988-880
