reactions between twoAufwärts:Models
of Mathematical PhysicsVorherige Seite:Fluid
flow in porous
A body with an arbitrary shape is moving in a fluid of density
with an velocity .
denotes the distance from the body. Further
denotes the velocity of the fluid and
the hydrostatical oressure. Oseen equations for flow due to a moving body
at small Reynolds numbers is given as follows:
The second relation models the incompressibility of the fluid. Boundary
conditions for a rigid body are given by:
For further information on the model have a look in G.K.Batchelor (2000)
An introduction to fluid dynamics Cambridge Mathematical Library.
It can be seen as an exterior Dirichlet problem in
is simple connected domain.
This problem is discussed as direct and inverse problem. A single-layer
potential approach in a Sobolev setting with a lot of interesting references
is treated in:
A late reference: R. Kress and Mayer S. (2000) An Inverse
Boundary Value Problem for the Oseen Equation MMAS 23, 103-120.
collected and worked out by Wolfgang Sprößig, TU-Bergakademie