Colloquium
 
演講者：Boris Khesin (University of Toronto)

講  題：Fluids, vortex sheets, and skew-mean-curvature flows

時  間：2015年10月26日 (星期一) 13:20~14:10

地  點：臺灣大學天數館202室

摘  要：We show that an approximation of the hydrodynamical Euler equation describes the skew-mean-curvature flow on vortex membranes in any dimension. This generalizes the classical binormal, or vortex filament, equation in 3D. We present a Hamiltonian framework for higher-dimensional vortex filaments and vortex sheets as singular 2-forms with support of codimensions 2 and 1, respectively. This framework, in particular, allows one to define symplectic structures on the spaces of vortex sheets.

主辦單位：臺灣大學數學系、國家理論科學研究中心(NCTS)