Speaker：Liangjun Weng (University of Pisa)

Time：2024-12-27, 16:00

Location：Conference Room S106 at Experiment Building at Haiyun Campus

Abstract:

In this talk, we discuss the volume- or wetting area-preserving flow whose speed is given by the mean curvature with a constrained term for hypersurfaces with capillary boundary in the half-space. The non-local type constrained term creates different difficulties, say for instance the comparison principle is no longer valid compared to local type constrained flow. We demonstrate that for any convex initial hypersurface with a capillary boundary, the flow exists for all time and smoothly converges to a spherical cap as time goes to infinity.