We report results of sumulation of wave turbulence. Both inverse and direct
cascades are observed. The definition of "mesoscopic turbulence" is given. This
is a regime when the number of modes in a system involved in turbulence is high
enough to qualitatively simulate most of the processes but significantly
smaller then the threshold which gives us quantitative agreement with the
statistical description, such as kinetic equation. Such a regime takes place in
numerical simulation, in essentially finite systems, etc.Comment: 5 pages, 11 figure