## Differential and Integral Equations

### Euler equation in a 3D channel with a noncharacteristic boundary

#### Abstract

In this paper we consider the Euler equations of an incompressible fluid in a $3D$ channel with permeable walls; a portion of the boundary is standing an inflow and another an outflow. We prove the existence, uniqueness and regularity of solutions, locally in time, in various function spaces of Hölder type.

#### Article information

Source
Differential Integral Equations, Volume 19, Number 3 (2006), 297-326.

Dates
First available in Project Euclid: 21 December 2012