Dept. Math, Hokkaido Univ. EPrints Server

On a free boundary problem of viscous incompressible flows

Preprint Series # 801
Maekawa, Yasunori On a free boundary problem of viscous incompressible flows. (2006);

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Abstract

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.

Item Type:Preprint
Additional Information:40 Professor Yoshihiro Tonegawa
Uncontrolled Keywords:Stokes flows, Free boundary problem
Subjects:76-xx FLUID MECHANICS
35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:1612