9 citations · 9 across the 6 of their papers we have counts for
6 papers · 1 filter
Number Theory of Decaying Turbulence 3: Comparing with Physical and Numerical Experiments
Alexander Migdal, Wei Wang
We compare the predictions of the Euler-ensemble solution of freely decaying incompressible turbulence with simulations and experiments: the scaling function of the energy spectrum…
Geometric Solution of Turbulence as Diffusion in Loop Space
Alexander Migdal
Strongly nonlinear dynamics, from fluid turbulence to quantum chromodynamics, have long constituted some of the most challenging problems in theoretical physics. This review descri…
Geometric Solution of Turbulent Mixing
Alexander Migdal
We derive an analytical solution for the one-point distribution of a passive scalar in decaying homogeneous turbulence, in the limit of strong turbulence (high Re, fixed Schmidt nu…
Dual Theory of MHD Turbulence
Alexander Migdal
We present an exact analytic solution for decaying incompressible magnetohydrodynamic (MHD) turbulence. Our solution reveals a dual formulation in terms of two interacting Euler en…
Dual theory of decaying turbulence. 2. Numerical simulation and continuum limit
Alexander Migdal
This is the second paper in a cycle investigating the exact solution of loop equations in decaying turbulence. We perform numerical simulations of the Euler ensemble, suggested in…
Quantum Solution of Classical Turbulence. Decaying Energy Spectrum
Alexander Migdal
This paper presents a recent advancement that transforms the problem of decaying turbulence in the Navier-Stokes equations in dimensions into a Number Theory challenge: findi…