  In [Commun Math Phys 348(1), 129-143, 2016], Cheskidov et al. proved that
physically realizable weak solutions of the incompressible 2D Euler equations
on a torus conserve kinetic energy. Physically realizable weak solutions are
those that can be obtained as limits of vanishing viscosity. The key hypothesis
was boundedness of the initial vorticity in $L^p$, $p>1$. In this work we
extend their result, by adding forcing to the flow.

Analysis of PDEs