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

W. M. Zajączkowski

Vol. 113 (1984), No. 1, 229–255

DOI: 10.2140/pjm.1984.113.229

Abstract

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 Ω ⊂ R³ is proved. As boundary conditions the velocity vector and the pressure on boundary parts the fluid enters and leaves the domain through are assumed, respectively. The existence of solutions in Sobolev spaces for domains with dihedral angles π∕n, n = 2,3,… , is shown.

Mathematical Subject Classification

Primary: 35Q10, 35Q10

Secondary: 76C99

Milestones

Received: 30 October 1981

Published: 1 July 1984