Inverse cascade solutions of the Euler equations

The motion of an ideal incompressible fluid in a 2-dimensional domain $M$ is considered. The initial velocity field is supposed to be small-scaled, i.e. its Fourier transform is concentrated at high frequences. The extreme case of flows corresponding to solutions of the Euler equations starting from the ZERO scale is studied. The main result of this work is that such solution exists. Its construction uses variational principle, generalized flows and continual braids.