Remarks on the inviscid limit for the NavierStokes equations for uniformly bounded velocity fields
Abstract
We consider the vanishing viscosity limit of the NavierStokes equations in a half space, with Dirichlet boundary conditions. We prove that the inviscid limit holds in the energy norm if the product of the components of the NavierStokes solutions are equicontinuous at $x_2=0$. A sufficient condition for this to hold is that the tangential NavierStokes velocity remains uniformly bounded and has a uniformly integrable tangential gradient near the boundary.
 Publication:

arXiv eprints
 Pub Date:
 December 2015
 arXiv:
 arXiv:1512.05674
 Bibcode:
 2015arXiv151205674C
 Keywords:

 Mathematics  Analysis of PDEs
 EPrint:
 We thank GungMin Gie and Jim Kelliher for many useful comments about the paper, which are incorporated in this new version