Mean Curvature Flow with Triple Junctions in Higher Space Dimensions

作者:Depner Daniel*; Garcke Harald; Kohsaka Yoshihito
来源:Archive for Rational Mechanics and Analysis, 2014, 211(1): 301-334.
DOI:10.1007/s00205-013-0668-y

摘要

We consider mean curvature flow of n-dimensional surface clusters. At (n-1)-dimensional triple junctions an angle condition is required which in the symmetric case reduces to the well-known 120A degrees angle condition. Using a novel parametrization of evolving surface clusters and a new existence and regularity approach for parabolic equations on surface clusters we show local well-posedness by a contraction argument in parabolic Holder spaces.

  • 出版日期2014-1