Mixed initial-boundary value problem for the three-dimensional Navier-Stokes equations in polyhedral domains
Michal Beneš · AIMS Press eBooks · 2011
We study a mixed initial{boundary value problem for the Navier{Stokes equations, where the Dirichlet, Neumann and slip boundary conditionsare prescribed on the faces of a three-dimensional polyhedral domain. We provethe existence, uniqueness and smoothness of the solution on a time interval(0, $T$*), where 0 $< T$* $<= T$.