124 citations · 481 across the 26 of their papers we have counts for
26 papers
To the theory of decaying turbulence
Alexander Migdal
We have found an infinite dimensional manifold of exact solutions of the Navier-Stokes loop equation for the Wilson loop in decaying Turbulence in arbitrary dimension . This…
Topological vortexes, asymptotic freedom, and multifractals
Alexander Migdal
We study the Kelvinons: monopole ring solutions to the Euler equations, regularized as the Burgers vortex in the viscous core. There is finite anomalous dissipation in the inviscid…
Statistical Equilibrium of Circulating Fluids
Alexander Migdal
We are investigating the inviscid limit of the Navier-Stokes equation, and we find previously unknown anomalous terms in Hamiltonian, Dissipation, and Helicity, which survive this…
Confined Vortex Surface and Irreversibility. 3. Nested Tubes and Energy Cascade
Alexander Migdal
We find a new family of exact solutions of the Confined Vortex Surface equations (The Euler equations with extra boundary conditions coming from the stability of the Navier-Stokes…
Confined Vortex Surface and Irreversibility. 2. Hyperbolic Sheets and Turbulent statistics
Alexander Migdal
We continue the study of Confined Vortex Surfaces (\CVS{}) that we introduced in the previous paper. We classify the solutions of the \CVS{} equation and find the analytical formul…
Confined Vortex Surface and Irreversibility. 1. Properties of Exact solution
Alexander Migdal
We revise the steady vortex surface theory following the recent finding of asymmetric vortex sheets (AM,2021). These surfaces avoid the Kelvin-Helmholtz instability by adjusting th…