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Journal Articles Journal of Mathematical Fluid Mechanics Year : 2015

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

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 n.u = 0 at the boundary of Omega together with a time-dependent Robin boundary condition of the type n x curl u = B (t)u admits a solution with enough regularity provided the initial condition is small enough in an appropriate functional space.
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Dates and versions

hal-01006358 , version 1 (15-06-2014)

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Sylvie Monniaux, El Maati Ouhabaz. The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions. Journal of Mathematical Fluid Mechanics, 2015, 17, pp.707-722. ⟨hal-01006358⟩
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