Stabilization of solutions of two-dimensional equations of dynamics of an ideal liquid

Problems of solvability of initial- and boundary-value problems for two dimensional nonstationary Euler equations of dynamics of an ideal liquid are considered with attention to sufficient conditions under which the solutions of two-dimensional Euler equations as t approaches infinity tend to a potential flow. The existence of a generalized solution of the initial-value formulation of this latter problem is proved. Asymptotic properties of the trajectories are explained, and theorems of settling and asymptotic stability of a potential flow are reported.