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A Mathematical clue to the separation phenomena on the two-dimensional Navier-Stokes equation
| Title: | A Mathematical clue to the separation phenomena on the two-dimensional Navier-Stokes equation |
| Authors: | Yoneda, Tsuyoshi Browse this author |
| Keywords: | Navier-Stokers equation | | separation phenomena | | pressure analysis |
| Issue Date: | 8-Jun-2012 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1010 |
| Start Page: | 1 |
| End Page: | 12 |
| 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, a clue of such reverse flow phenomena (in the mathematical sense) is observed. More precisely, the non-stationary two-dimensional Navier-Stokes equation with an initial datum having a parallel laminar flow (we de ne it rigorously in the paper) is considered. We show that the direction of the material di erentiation is opposite to the initial flow direction and e ect of the material di erentiation (inducing the reverse flow) becomes bigger when the curvature of the boundary becomes bigger. We also show that the parallel laminar flow cannot be a stationary Navier-Stokes flow near a portion of the boundary with nonzero curvature. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69815 |
| 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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