The velocity field
and pressure
of an incompressible fluid is given as the solution of the Stokes problem
 |
(90) |
where
is the viscosity,
defines an internal force and
is an intial stress . We assume an incompressible media:
 |
(91) |
Natural boundary conditions are taken in the form
 |
(92) |
which can be overwritten by constraints of the form
 |
(93) |
at some locations
at the boundary of the domain. The index
may depend on the location
on the boundary.
is a given function on the domain.
Subsections
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