The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions
Langue
en
Article de revue
Ce document a été publié dans
Journal of Mathematical Fluid Mechanics. 2015, vol. 17, p. 707-722
Springer Verlag
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
time dependent Robin boundary conditions
Navier-Stokes equation
maximal regularity
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Aux frontières de l'analyse Harmonique - ANR-12-BS01-0013
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