Klaus Deckelnick:
Discrete hyperbolic curvature flow in the plane
Time and place
Tuesday, 14.3.23, 14:15-15:15, Raum 226, Hermann-Herder-Str. 10
Abstract
\n\nAbstract: Hyperbolic curvature flow is a geometric evolution equation that in the plane\ncan be viewed as the natural hyperbolic analogue of curve shortening flow.\nIt was proposed by Gurtin and Podio-Guidugli to model certain wave\nphenomena in solid-liquid interfaces. We propose a semidiscrete finite difference method\nfor the approximation of hyperbolic curvature flow and prove error bounds in natural norms.\nWe also present numerical simulations, including the onset of singularities starting\nfrom smooth strictly convex initial data. This is joint work with Robert N\b"urnberg (Trento).