Wave Seminar On a free boundary problem of viscous incompressible flows

2006-06-27 16:30 - 2006-06-27 18:00
Faculty of Science Building #3 Room 311
Yasunori Maekawa (Hokkaido University)
We shall discuss a free boundary problem for viscousincompressible fluids which is considered as the relaxation of a twophase free boundary problem with surface tension on the interface. Ourrelaxation ensures the regularity of the interface, and we establish aunique time-local solution of the problem. One of the keys is to obtainthe optimal regularity of the velocity in tangential direction to theinterface by using the H{\"o}lder-Zygmunt spaces.