Energy conservation in the 3D Euler equations on ${\mathbb{T}}^2\times {\mathbb{R}}_{+}$

James C. Robinson, José L. Rodrigo, Jack W. D. Skipper

The aim of this paper is to prove energy conservation for the incompressible Euler equations in a domain with boundary. We work in the domain ${\mathbb{T}}^2\times {\mathbb{R}}_{+}$, wher…