1987/12/01 by Gerhard Huisken · 3 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #advanced mathematical theories #Advanced Differential Geometry Research #Mean curvature flow #Curvature #Flow (mathematics) #Volume (thermodynamics) #Mathematics #Geology #Mean curvature #Geometry #Physics #Thermodynamics
paper · doi:10.1515/crll.1987.382.35
openalex publication_date 1987/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01
Abstract. We analyze the evolution of multi-dimensional normal graphs over the unit sphere under volume preserving mean curvature flow and derive a non-linear partial differential equation in polar coordinates. Furthermore, we construct finite difference numerical schemes and present numerical results for the evolution of non-convex closed plane curves under this flow, to observe that they become convex very fast. 1.