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On global solutions for the Constantin-Lax-Majda equation with a generalized viscosity term

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タイトル: On global solutions for the Constantin-Lax-Majda equation with a generalized viscosity term
著者: Sakajo, Takashi 著作を一覧する
発行日: 2003年 7月
出版者: Institute of Physics
誌名: Nonlinearity
巻: 16
号: 4
開始ページ: 1319
終了ページ: 1328
出版社 DOI: 10.1088/0951-7715/16/4/307
抄録: We consider a one-dimensional model for the three-dimensional vorticity equation of incompressible and viscous fluids. This model is obtained by adding a generalized viscous diffusion term to the Constantin-Lax-Majda equation, which was introduced as a model for the 3-D Euler equation[2]. It is shown in [6] that the solution of the model equation blows up in finite time for sufficiently small viscosity, however large diffusion term it may has. In the present article, we discuss the existence of a unique global solution for large viscosity.We investigate convergence of the solution and show that the solution blows up in finite time for sufficiently small viscosity coefficient regardless of the order of derivative of the viscosity term.
Description URI: http://www.iop.org/
Rights: Copyright © 2003 IOP Publishing Ltd.
資料タイプ: article (author version)
URI: http://hdl.handle.net/2115/5415
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 坂上 貴之

 

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