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ファイル | 記述 | サイズ | フォーマット | |
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2009-08.pdf | 1.26 MB | Adobe PDF | 見る/開く |
タイトル: | Stability of nonswirl axisymmetric solutions to the Navier-Stokes equations (Mathematical Analysis of Viscous Incompressible Fluid) |
著者: | Zajaczkowski, Wojciech M. |
キーワード: | 35Q30 35B35 76D03 76D05 76D10 axisymmetric solutions to the Navier-Stokes equations stability of nonswirl solutions global regular axisymmetric solution special slip boundary conditions |
発行日: | Dec-2016 |
出版者: | 京都大学数理解析研究所 |
誌名: | 数理解析研究所講究録 |
巻: | 2009 |
開始ページ: | 84 |
終了ページ: | 104 |
抄録: | The existence of global regular axisymmetric solutions to the Navier-Stokes equations without swirl and in a finite axisymmetric cylinder is proved. The solutions are such that norms bounded with respect to time are controlled by the same constant for all tin mathbb{R}+cdot Assuming that the initial velocity and the external force are sufficiently close to the initial velocity and the external force of a nonswirl axisymmetric solutions, we prove existence of global regular axisymmetric solutions which remain close to the nonswirl axisymmetric solution for all time. In this sense we have stability of nonswirl axisymmetric solutions. However, to prove this we need a smallness condition on the aximuthal component of vorticity of the external force for the nonswirl solution. |
URI: | http://hdl.handle.net/2433/231566 |
出現コレクション: | 2009 非圧縮性粘性流体の数理解析 |
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