On a generalization of the Constantin–Lax–Majda equation
On a generalization of the Constantin–Lax–Majda equation
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DOI：
10.1088/0951-7715/21/10/013
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发表时间：
2008-09
期刊：
影响因子：
1.7
通讯作者：
H. Okamoto;T. Sakajo;Marcus Wunsch
中科院分区：
文献类型：
--
作者：
H. Okamoto;T. Sakajo;Marcus Wunsch
我们基于数值计算和一个类似于Beale-Kato-Majda定理的数学判据，给出了De Gregorio方程解的整体存在性的证据。它在广义Constantin-Lax-Majda方程中的意义将被讨论。然后，我们论证了对流项，如果以适当的形式和适当的大小设置，可以耗尽爆破解。
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.