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math.AP2017★ 51 cited
An Onsager Singularity Theorem for Leray Solutions of Incompressible Navier-Stokes
Theodore D. Drivas, Gregory L. Eyink
We study in the inviscid limit the global energy dissipation of Leray solutions of incompressible Navier-Stokes on the torus , assuming that the solutions have norms…
math.AP2017★ 59 cited
An Onsager Singularity Theorem for Turbulent Solutions of Compressible Euler Equations
Theodore D. Drivas, Gregory L. Eyink
We prove that bounded weak solutions of the compressible Euler equations will conserve thermodynamic entropy unless the solution fields have sufficiently low space-time Besov regul…