2008年10月
On a generalization of the Constantin-Lax-Majda equation
NONLINEARITY
- ,
- ,
- 巻
- 21
- 号
- 10
- 開始ページ
- 2447
- 終了ページ
- 2461
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1088/0951-7715/21/10/013
- 出版者・発行元
- IOP PUBLISHING LTD
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.
- リンク情報
- ID情報
-
- DOI : 10.1088/0951-7715/21/10/013
- ISSN : 0951-7715
- Web of Science ID : WOS:000259255100013