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On the inviscid limit problem of the vorticity equations for viscous incompressible flows in the half plane
| Title: | On the inviscid limit problem of the vorticity equations for viscous incompressible flows in the half plane |
| Authors: | Maekawa, Yasunori Browse this author |
| Keywords: | Vorticity equations | | No-slip boundary conditions | | Inviscid limit |
| Issue Date: | 19-Apr-2012 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1005 |
| Start Page: | 1 |
| End Page: | 50 |
| Abstract: | 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 at the inviscid limit when the initial vorticity is located away from the boundary. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69810 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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