We consider the free boundary problem governing the motion of an isolated liquid mass. The initial free boundary possesses a certain regularity and the initial velocity satisfies only natural compatibility and regularity conditions. We construct a local in time solution in Sobolev- Slobodeskii spaces.
On the local solvability of free boundary problem for the Navier-Stokes equations
PADULA, Mariarosaria;
2010
Abstract
We consider the free boundary problem governing the motion of an isolated liquid mass. The initial free boundary possesses a certain regularity and the initial velocity satisfies only natural compatibility and regularity conditions. We construct a local in time solution in Sobolev- Slobodeskii spaces.File in questo prodotto:
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