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);
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.