Vortex patch problem for stratified Euler equations
Vortex patch problem for stratified Euler equations
We study in this paper the vortex patch problem for the stratified Euler equations in space dimension two.We generalize Chemin's result [J.Y.Chemin, Oxford University Press, 1998.]concerning the global persistence of the Hölderian regularity of the vortex patches.Roughly speaking, we prove that if the initial density is smooth and the initial …