An Onsager Singularity Theorem for Leray Solutions of Incompressible Navier-Stokes

We study in the inviscid limit the global energy dissipation of Leray solutions of incompressible Navier-Stokes on the torus {\mathbb T}^d, assuming that the solutions have norms for Besov space B^{\sigma,\infty}_3({\mathbb T}^d), \sigma\in (0,1], that are bounded in the L^3-sense in time, uniformly in viscosity. We establish an upper bound... Show more