On a free boundary problem of viscous incompressible flows
Preprint Series # 801
Maekawa, Yasunori On a free boundary problem of viscous incompressible flows. (2006);
We shall discuss a free boundary problem for viscous incompressible fluids which is considered as the relaxation of a two phase free boundary problem with surface tension on the interface. Our
relaxation ensures the regularity of the interface, and we shall construst a unique time-local solution of the problem. One of the keys is to obtain the optimal regularity of the velocity in tangential direction to the interface.