Zobrazeno 1 - 10
of 309
pro vyhledávání: '"Eyink, Gregory"'
Autor:
Eyink, Gregory L., Peng, Lowen
We study rigorously the infinite Reynolds limit of the solutions of the Landau-Lifschitz equations of fluctuating hydrodynamics for an incompressible fluid on a $d$-dimensional torus for $d\geq 2.$ These equations, which model the effects of thermal
Externí odkaz:
http://arxiv.org/abs/2409.13103
Autor:
Kumar, Samvit, Eyink, Gregory
The detailed Josephson-Anderson relation equates instantaneous work by pressure drop over any streamwise segment of a general channel and wall-normal flux of spanwise vorticity spatially integrated over that section. This relation was first derived b
Externí odkaz:
http://arxiv.org/abs/2407.01416
Autor:
Eyink, Gregory
Lars Onsager in 1945-1949 made an exact analysis of the high Reynolds-number limit for individual turbulent flow realizations modeled by incompressible Navier-Stokes equations, motivated by experimental observations that dissipation of kinetic energy
Externí odkaz:
http://arxiv.org/abs/2404.10084
How predictable are turbulent flows? Here we use theoretical estimates and shell model simulations to argue that Eulerian spontaneous stochasticity, a manifestation of the non-uniqueness of the solutions to the Euler equation that is conjectured to o
Externí odkaz:
http://arxiv.org/abs/2401.13881
Drag for wall-bounded flows is directly related to flux of spanwise vorticity outward from the wall. In turbulent flows a key contribution arises from cross-stream "vorticity cascade" by nonlinear advection and stretching of vorticity. We study this
Externí odkaz:
http://arxiv.org/abs/2302.03738
Autor:
Eyink, Gregory, Jafari, Amir
We discuss application of methods from the Kraichnan model of turbulent advection to the study of non-equilibrium concentration fluctuations arising during diffusion in liquid mixtures at high Schmidt numbers. This approach treats nonlinear advection
Externí odkaz:
http://arxiv.org/abs/2210.08671
Autor:
Quan, Hao, Eyink, Gregory L.
The Josephson-Anderson relation, valid for the incompressible Navier-Stokes solutions which describe flow around a solid body, instantaneously equates the power dissipated by drag to the flux of vorticity across the flow lines of the potential Euler
Externí odkaz:
http://arxiv.org/abs/2206.05326
Autor:
Quan, Hao, Eyink, Gregory L.
We study the local balance of momentum for weak solutions of incompressible Euler equations obtained from the zero-viscosity limit in the presence of solid boundaries, taking as an example flow around a finite, smooth body. We show that both viscous
Externí odkaz:
http://arxiv.org/abs/2206.05325
Publikováno v:
Journal of Statistical Physics 189 (20) 2022
We consider a generic Hamiltonian system of nonlinear interacting waves with 3-wave interactions. In the kinetic regime of wave turbulence, which assumes weak nonlinearity and large system size, the relevant observable associated with the wave amplit
Externí odkaz:
http://arxiv.org/abs/2203.11737
Boundary-layer transition is accompanied by a significant increase in skin friction whose origin is rigorously explained using the stochastic Lagrangian formulation of the Navier-Stokes equations. This formulation permits the exact analysis of vortic
Externí odkaz:
http://arxiv.org/abs/2202.13527