We consider the vanishing-viscosity limit for the Navier-Stokes equations with certain slip-without-friction boundary conditions in a bounded domain with non-flat boundary. In particular, we are able to show convergence in strong norms for a solution starting with initial data belonging to the special subclass of data with vanishing vorticity on the boundary. The proof is obtained by smoothing the initial data and by a perturbation argument with quite precise estimates for the equations of the vorticity and for that of the curl of the vorticity.
|Autori:||Berselli L.C.; Spirito S.|
|Titolo:||On the Vanishing viscosity limit of 3D Navier-Stokes equations under slip boundary conditions in general domains|
|Anno del prodotto:||2012|
|Digital Object Identifier (DOI):||10.1007/s00220-012-1581-1|
|Appare nelle tipologie:||1.1 Articolo in rivista|