124 citations · 481 across the 26 of their papers we have counts for
4 papers · 1 filter
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…
Asymmetric Vortex Sheet
Alexander Migdal
We present a steady analytical solution of the incompressible Navier-Stokes equation for arbitrary viscosity in an arbitrary dimension of space. It represents a dimension…