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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…
Cascades and Dissipative Anomalies in Relativistic Fluid Turbulence
Gregory L. Eyink, Theodore D. Drivas
We develop first-principles theory of relativistic fluid turbulence at high Reynolds and Péclet numbers. We follow an exact approach pioneered by Onsager, which we explain as a non…
Cascades and Dissipative Anomalies in Compressible Fluid Turbulence
Gregory L. Eyink, Theodore D. Drivas
We investigate dissipative anomalies in a turbulent fluid governed by the compressible Navier-Stokes equation. We follow an exact approach pioneered by Onsager, which we explain as…
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…
A Lagrangian fluctuation-dissipation relation for scalar turbulence, III. Turbulent Rayleigh-Bénard convection
Gregory L. Eyink, Theodore D. Drivas
A Lagrangian fluctuation-dissipation relation has been derived in a previous work to describe the dissipation rate of advected scalars, both passive and active, in wall-bounded flo…
A Lagrangian fluctuation-dissipation relation for scalar turbulence, II. Wall-bounded flows
Theodore D. Drivas, Gregory L. Eyink
We derive here Lagrangian fluctuation-dissipation relations for advected scalars in wall-bounded flows. The relations equate the dissipation rate for either passive or active scala…