The 18th : PDE Real Analysis Seminar

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)

Place :: Graduate School of Mathematical Sciences the University of Tokyo, Room #056

Programme :

Tonegawa, Yoshihiro (Hokkaido University): "On Mullins-Sekerka as singular limit of Cahn-Hilliard, some mathematical progress and open problems"
ABSTRACT:: The Cahn-Hilliard equation and its variants have been widely used in materials science community to model coarse graining phenomena in mesoscopic scale. The equation has a parameter corresponding the order of thickness of phase boundaries. When the parameter is close to zero, the phase boundary and the chemical potential field are known to evolve by the so-called Mullins-Sekerka problem. The rigorous justification for the latter statement is known only for short-time so far. I describe some recent progress as well as some difficulties on the long-time case, relateing my recent works and those by M. Roeger and R. Schaetzle.

The 18th PDE Real Analysis Seminar