On the motion of a drop of a viscous incompressible fluid in an ideal incompressible fluid
Abstract
The existence and uniqueness of local-in-time solutions of the motion of a drop of a viscous incompressible fluid bounded by a free surface in an ideal incompressible fluid are demonstrated. It is shown that the equations are satisfied classically in such Sobolev spaces. The density of the viscous fluid are assumed to be much larger than the density of the ideal fluid.
- Publication:
-
Archiv of Mechanics, Archiwum Mechaniki Stosowanej
- Pub Date:
- 1990
- Bibcode:
- 1990ArMeS..42..307Z
- Keywords:
-
- Drops (Liquids);
- Equations Of Motion;
- Ideal Fluids;
- Incompressible Fluids;
- Viscous Fluids;
- Coordinate Transformations;
- Fluid Dynamics;
- Matrix Methods;
- Sobolev Space;
- Fluid Mechanics and Heat Transfer