Differential and Integral Equations
- Differential Integral Equations
- Volume 19, Number 3 (2006), 297-326.
Euler equation in a 3D channel with a noncharacteristic boundary
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.
Differential Integral Equations, Volume 19, Number 3 (2006), 297-326.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q35: PDEs in connection with fluid mechanics
Secondary: 35F30: Boundary value problems for nonlinear first-order equations 76B03: Existence, uniqueness, and regularity theory [See also 35Q35]
Petcu, Madalina. Euler equation in a 3D channel with a noncharacteristic boundary. Differential Integral Equations 19 (2006), no. 3, 297--326. https://projecteuclid.org/euclid.die/1356050515