In this paper, we will introduce the revised vorticity space C, ,.,c . In this frame, we prove that the initial value problem of incompressible Euler equations with divergence free deta (E) exists a unique local Lipschitz solution., and the solution remains propagation of regularity of the initial subznanifold and the initial vorticity,
Ping Zhang,QingJiu Qiu.
On the Three Dimeasioinal Revised Vortex Patches Prnblem of .. Incompressible Euler Equations. Acta Mathematica Sinica, Chinese Series, 1997, 40(3) https://doi.org/10.12386/A1997sxxb0045