A Willmore-Helfrich L-2-flow of curves with natural boundary conditions

作者:Dall' Acqua Anna; Pozzi Paola
来源:Communications in Analysis and Geometry, 2014, 22(4): 617-669.
DOI:10.4310/CAG.2014.v22.n4.a2

摘要

We consider regular open curves in R-n with fixed boundary points and moving according to the L-2-gradient flow for a generalization of the Helfrich functional. Natural boundary conditions are imposed along the evolution. More precisely, at the boundary the curvature vector is equal to the normal projection of a fixed given vector. A long-time existence result together with subconvergence to critical points is proven.

  • 出版日期2014-10