On a generalization of the Constantin–Lax–Majda equation


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/34775

Title:	On a generalization of the Constantin–Lax–Majda equation
Authors:	Okamoto, Hisashi Browse this author
	Sakajo, Takashi Browse this author →KAKEN DB
	Wunsch, Marcus Browse this author
Issue Date:	Oct-2008
Publisher:	IOP Publishing Ltd
Journal Title:	Nonlinearity
Volume:	21
Issue:	10
Start Page:	2447
End Page:	2461
Publisher DOI:	10.1088/0951-7715/21/10/013
Abstract:	We present evidence on the global existence of solutions of De Gregorio's equation, based on numerical computation and a mathematical criterion analogous to the Beale-Kato-Majda theorem. Its meaning in the context of a generalized Constantin-Lax-Majda equation will be discussed. We then argue that a convection term, if set in a proper form and in a proper magnitude, can deplete solutions of blow-up.
Rights:	© 2008 IOP Publishing
Type:	article (author version)
URI:	http://hdl.handle.net/2115/34775
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 坂上貴之

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