Non-uniqueness for the Euler equations: the effect of the boundary (Q2875025)

The main key point of the work is the simple but deep and clear demonstration that even the axially-symmetric 2D situation with the initial data in the form \(r^{-2}\) if the radial co-ordinate \(\rho<r<r_0\) and \(r^2\) if \(r_0<r<R\) provides infinitely many non-stationary admissible solutions of the Euler equations. The properties of these solutions are studied and discussed.