4 citations · 4 across the 1 of their papers we have counts for
4 papers
Gibbsian Hypothesis in Turbulence
G. L. Eyink, S. Chen, Q. Chen
We show that Kolmogorov multipliers in turbulence cannot be statistically independent of others at adjacent scales (or even a finite range apart) by numerical simulation of a shell…
Athermodynamic Alignment in the Two-Dimensional Enstrophy Cascade
Xin Wang, Shiyi Chen, Robert E. Ecke +1
We study inertial-range statistics in the direct enstrophy cascade of two-dimensional turbulence via a numerical simulation of the forced Navier-Stokes equation. In particular, we…
A Variational Formulation of Optimal Nonlinear Estimation
Gregory L. Eyink
We propose a variational method to solve all three estimation problems for nonlinear stochastic dynamical systems: prediction, filtering, and smoothing. Our new approach is based u…
Self-Similar Decay in the Kraichnan Model of a Passive Scalar
G. Eyink, J. Xin
We study the two-point correlation function of a freely decaying scalar in Kraichnan's model of advection by a Gaussian random velocity field, stationary and white-noise in time bu…