The 2D Euler equations are well-posed for generic initial data in $L^2$

Lucio Galeati

In this note we show the existence of a residual set (in the sense of Baire) of divergence free initial data $u_0\in L^2(D)$, $D={\mathbb{R}}^2$ or ${\mathbb{T}}^2$, for which global e…