124 citations · 481 across the 26 of their papers we have counts for
4 papers · 1 filter
Vortex Sheet Turbulence as Solvable String Theory
Alexander Migdal
We study steady vortex sheet solutions of the Navier-Stokes in the limit of vanishing viscosity at fixed energy flow. We refer to this as the turbulent limit. These steady flows co…
Clebsch Confinement and Instantons in Turbulence
Alexander Migdal
We introduce a concept of Clebsch confinement related to unbroken gauge invariance and study Clebsch instantons: singular vorticity sheets with nontrivial helicity. This is realiza…
Probability Distribution of Velocity Circulation in Three Dimensional Turbulence
Alexander Migdal
We elaborate the statistical field theory of Turbulence suggested in the previous paper \cite{M20a}. We clarify and simplify the basic Energy pumping equation of that theory and st…
Towards Field Theory of Turbulence
Alexander Migdal
We revisit the problem of stationary distribution of vorticity in three-dimensional turbulence. Using Clebsch variables we construct an explicit invariant measure on stationary sol…