PDE Seminar Existence of a solution for mean curvature flow with triple junction

2009-06-29 16:30 - 2009-06-29 17:30
Fac of Sci. bldg 3, 2nd floor, Room 202
Yoshihito Kohsaka (Muroran Institute of Technology)
The motion of three phase boundaries by mean curvature flow withtriple junction is studied in this talk. We consider the mean curvature flow which describes the gran growth and the motion of anti-phase boundaries. Also, it is one of the geometric evolution laws and is the gradient flow of the area functional of the hypersurface with respect to the $L^2$-inner product. Our goal in this talk is to obtain the existence of solution of the nonlinear system for this geometric equation.