THE GENERALIZED CONSTANTIN-LAX-MAJDA EQUATION REVISITED

被引：0
|
作者：
Wunsch, Marcus [1 ]
机构：
[1] Kyoto Univ, Math Sci Res Inst, Kyoto, Sakyoku Kitashi 6068502, Japan
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2011年 / 9卷 / 03期
关键词：
The generalized Constantin-Lax-Majda equation; Beale-Kato-Majda blowup criterion; small solutions; ONE-DIMENSIONAL MODEL; VORTICITY; BMO;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We continue our study of the generalized Constantin-Lax-Majda equation, which is an evolution equation in one space dimension modeling three-dimensional vorticity dynamics. First, we show that the BMO-norm of the vorticity controls the singularity formation for smooth solutions if the parameter a equals 2, and we proceed by demonstrating that there are small solutions which exist indefinitely in the presence of viscosity if a <= -2.
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页码：929 / 936
页数：8
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