Incompressible 2D Euler equations with non-decaying random initial vorticity

Gautam Iyer, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes

Consider a random initial vorticity $\ddot{I}{‰}_0(x)={\sum }_{n\in {\mathbb{Z}}^2}{a}_n\ddot{I}•(x-n)$, where $\ddot{I}•$ is bounded and compactly supported and $\{a_n\}$ are independent, uniformly bounded…