GLOBAL VORTICITY EXISTENCE OF A PERFECT INCOMPRESSIBLE FLUID IN B0 ∞,1(R2) ∩ Lp(R2)

Abstract

We prove the global (in time) vorticity existence for the ∞,1(R2) ∩ 2-D Euler equations of a perfect incompressible fluid in B0 Lp(R2) with 1 < p < 2. Moreover, we prove that the particle trajectory map X(x, t) satisfies the following estimate: for some positive constant C

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