PDE Seminar Stability of stationary curves with triple junction in curvature flow

2008-06-09 16:30 - 2008-06-09 17:30
Faculty of Science Building #8 Room 309
Yoshihito Kohsaka (Muroran Inst. of Tech.)
The motion of the phase boundaries with triple junction bythe geometrical evolution law is studied in this talk.We consider the curvature flow which is the gradient flowof the length functional of the evolving curves.Our goal in this talk is to obtain the nonlinear stability ofthe stationary curves with triple junction by using the criteriaof the linearized stability of stationary curves, which are derivedby investigating the sign of eigenvalues for the correspondingeigenvalue problem.