Dept. Math, Hokkaido Univ. EPrints Server

On a generalization of the Constantin-Lax-Majda equation

Preprint Series # 898
OKAMOTO, Hisashi and SAKAJO, Takashi and WUNSCH, Marcus On a generalization of the Constantin-Lax-Majda equation. (2008);

[img]PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
1928Kb

Abstract

We present evidence on 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 the convection term can deplete solutions of blow-up.

Item Type:Preprint
Additional Information:15 Copies
Subjects:76-xx FLUID MECHANICS
35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:1826