Display Abstract

Title On the uniqueness of quadrature surfaces

Name Michiaki Onodera
Country Japan
Email onodera@imi.kyushu-u.ac.jp
Co-Author(s)
Submit Time 2014-02-27 08:35:54
Session
Special Session 58: Dynamics in systems with interfaces
Contents
A new geometric flow describing the motion of quadrature surfaces is introduced. This characterization enables us to study quadrature surfaces through the investigation of the flow. It is proved that the flow is uniquely solvable under the geometric condition that the initial surface has positive mean curvature. As a consequence, a bifurcation criterion for quadrature surfaces is obtained.