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Hokkaido University Preprint Series in Mathematics >
TOPOLOGICAL INSTABILITY OF LAMINAR FLOWS FOR THE TWO-DIMENSIONAL NAVIER-STOKES EQUATION WITH CIRCULAR ARC NO-SLIP BOUNDARY CONDITIONS
| Title: | TOPOLOGICAL INSTABILITY OF LAMINAR FLOWS FOR THE TWO-DIMENSIONAL NAVIER-STOKES EQUATION WITH CIRCULAR ARC NO-SLIP BOUNDARY CONDITIONS |
| Authors: | Yoneda, Tsuyoshi Browse this author |
| Keywords: | Navier-Stokers equation | | laminar flow | | no-slip boundary condition |
| Issue Date: | 17-Sep-2013 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1040 |
| Start Page: | 1 |
| End Page: | 24 |
| Abstract: | In general, before separating from a boundary, the flow moves toward reverse direction near the boundary against the laminar flow direction. Here in this paper, creation of the reverse flow phenomena (in a mathematical sense) is observed. More precisely, in the non-stationary two-dimensional Navier-Stokes equation with circular arc no-slip boundary conditions and diffusing laminar initial data (we de ne them rigorously in the paper), topologically changing flow, namely, instability is observed. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69844 |
| 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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