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

Sakajo, Takashi

Nonlinearity, 2003, 16(4), 1319-1328

Permalink : https://hdl.handle.net/2115/5415

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アクセス権	open access
URI	https://hdl.handle.net/2115/5415
タイトル	On global solutions for the Constantin-Lax-Majda equation with a generalized viscosity term
著者	e-Rad_Researcher 10303603 著者名 Sakajo, Takashi 坂上, 貴之
言語	英語
発行日	2003-07
出版者	Institute of Physics
収録物名	Nonlinearity
巻(号)	16(4)
ページ	1319-1328
記述	http://www.iop.org/
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.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	Copyright © 2003 IOP Publishing Ltd.
PISSN	0951-7715
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1088/0951-7715/16/4/307