We consider the Navier-Stokes equations for viscous incompressible flows in the half-plane under the no-slip boundary condition. By using the vorticity formulation we prove the local-in-time convergence of the Navier-Stokes flows to the Euler flows outside a boundary layer and to the Prandtl flows in the boundary layer in the inviscid limit when the initial vorticity is located away from the boundary.
|Number of pages||84|
|Journal||Communications on Pure and Applied Mathematics|
|Publication status||Published - 2014 Jul|
ASJC Scopus subject areas
- Applied Mathematics