Stokes flow with kinematic and dynamic boundary conditions
2017
We study the solvability of the Stokes system in a bounded Lipschitz domain in $\R^n$ when the flow is subjected to a mixed boundary condition: a Dirichlet condition for the velocity and a Neumann condition for the stress tensor. Some minor modifications to the standard theory are therefore required. The most noteworthy result is that both pressure and velocity are unique.
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