Local solvability of nonstationary leakage problem for ideal incompressible fluid. II (Q1080715)

[For part I see: the author, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 96, 39-56 (1980; Zbl 0463.76018)]. In this paper the existence and uniqueness of solutions of the initial boundary value problem for the Euler equations for an incompressible fluid in a bounded domain \(\Omega \subset {\mathbb{R}}^ 3\) is proved. As boundary conditions are assumed the velocity vector and the pressure on boundary parts through which the fluid enters and leaves the domain. The existence of solutions in Sobolev spaces for domains with dihedral angles \(\pi\) /n, \(n=2,3,...\), is shown.