On a generalization of the Constantin–Lax–Majda equation
نویسندگان
چکیده
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. Mathematics Subject Classification: 35Q35, 76B03
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