Energy conservation for the Euler equations on ${\mathbb{T}}^2\times {\mathbb{R}}_{+}$ for weak solutions defined without reference to the pressure

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

We study weak solutions of the incompressible Euler equations on ${\mathbb{T}}^2\times {\mathbb{R}}_{+}$; we use test functions that are divergence free and have zero normal component, t…