Coherent vortex in a spatially restricted two-dimensional turbulent flow in absence of bottom friction.
We investigate the coherent vortex produced by two-dimensional turbulence excited in a finite box. We establish analytically the mean velocity
profile of the vortex for the case where the bottom friction is negligible and express its characteristics via the parameters of pumping. Our
theoretical predictions are verified and confirmed by direct numerical simulations in the framework of two-dimensional weakly compressible
hydrodynamics with zero boundary conditions.