2023-03-24T03:34:19Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/698102022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116On the inviscid limit problem of the vorticity equations for viscous incompressible flows in the half planeMaekawa, YasunoriVorticity equationsNo-slip boundary conditionsInviscid limit410We 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 at the inviscid limit when the initial vorticity is located away from the boundary.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69810info:doi/10.14943/84151https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69810/1/pre1005.pdfHokkaido University Preprint Series in Mathematics10051502012-04-19engpublisher