The 22nd PDE Real Analysis Seminar
(COE Partner Seminar, Department of Mathematics, Hokkaido University )
Outline
- Organizers :
-
H.Arai (University of Tokyo)
Y.Giga (University of Tokyo/Hokkaido University)
- Board Members :
- H.Ishii (Waseda.U) T.Kawazoe (Keio.U) N.Kenmochi (Chiba.U) M.Sakai (Tokyo Metropolitan.U)
Y.Shibata (Waseda.U) K.Mochizuki (Chuo.U)
A.Miyachi(Tokyo Woman's Christian.U) M.Yamazaki (Waseda.U)
- Period :
- June 7, 2006 (Wednesday) 10:30-11:30
- Place :
- Graduate School of Mathematical Sciences the University of Tokyo, Room #056
- Programme :
-
- Yoshihito Kohsaka (Muroran Institute of Technology)
- On phase boundary motion by surface diffusion with triple junction
- ABSTRACT:
- The phase boundary motion by a geometrical evolution law in a bounded domain is studied in this talk. We consider the surface diffusion flow equation, which has the gradient flow structure with respect to $H^{-1}$-inner product and the area-preserving property. This equation was derived by Mullins to model the motion of interfaces in the case that the motion of interfaces is governed purely by mass diffusion within the interfaces. We study the three-phase problem with triple junction in a bounded domain and analyze the stability of the stationary solutions for this problem.
