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arXiv · 1406.4017

The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions

Sylvie Monniaux·El Maati Ouhabaz
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Abstract

We show that the incompressible 3D Navier-Stokes system in a C 1;1 bounded domain or a bounded convex domain with a non penetration condition u = 0 at the boundary @ together with a time-dependent Robin boundary condition of the type curl u = (t)u on @ admits a solution with enough regularity provided the initial condition is small enough in an appropriate functional space.

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Sylvie Monniaux, El Maati Ouhabaz. 2014-06-16. The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions. https://arxiv.org/abs/1406.4017

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