Mixed Initial-Boundary Value Problem for the Three-Dimensional Navier-Stokes Equations in Polyhedral Domains

Details Mixed Initial-Boundary Value Problem for the Three-Dimensional Navier-Stokes Equations in Polyhedral Domains Mixed Initial-Boundary Value Problem for the Three-Dimensional Navier-Stokes Equations in Polyhedral Domains

2011-02-13

arxiv.org/abs/1102.2584v1

Mathematics

Analysis of PDEs

10 pages

Scientific paper

We study a mixed initial-boundary value problem for the Navier-Stokes
equations, where the Dirichlet, Neumann and slip boundary conditions are
prescribed on the faces of a three-dimensional polyhedral domain. We prove the
existence, uniqueness and smoothness of the solution on a time interval
$(0,T^*)$, where $0

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