Premium
On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane
Author(s) -
Maekawa Yasunori
Publication year - 2014
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.21516
Subject(s) - inviscid flow , vorticity , mathematics , burgers vortex , vorticity equation , boundary layer , euler equations , navier–stokes equations , prandtl number , mathematical analysis , no slip condition , compressibility , boundary value problem , mechanics , boundary (topology) , boundary layer thickness , vortex , physics , heat transfer
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. © 2014 Wiley Periodicals, Inc.