1.3k citations · 5.2k across the 69 of their papers we have counts for
69 papers
Interaction renormalization and validity of kinetic equations for turbulent states
Vladimir Rosenhaus, Gregory Falkovich
We consider turbulence of waves that interact weakly via four-wave scattering (sea waves, plasma waves, spin waves, and many others). In the first non-vanishing order in the intera…
Sum-of-squares bounds on correlation functions in a minimal model of turbulence
Vladimir Parfenyev, Evgeny Mogilevskiy, Gregory Falkovich
We suggest a new computer-assisted approach to the development of turbulence theory. It allows one to impose lower and upper bounds on correlation functions using sum-of-squares po…
Multi-mode correlations and the entropy of turbulence
Gregory Falkovich, Yotam Kadish, Natalia Vladimirova
We suggest a new focus for turbulence studies -- multi-mode correlations -- which reveal the hitherto hidden nature of turbulent state. We apply this approach to shell models descr…
Direct observation of vortices in an electron fluid
Amit Aharon-Steinberg, Tobias Völkl, Arkady Kaplan +12
Vortices are the hallmarks of hydrodynamic flow. Recent studies indicate that strongly-interacting electrons in ultrapure conductors can display signatures of hydrodynamic behavior…
Second harmonic generation as a minimal model of turbulence
N. Vladimirova, M. Shavit, S. Belan +1
When two resonantly interacting modes are in contact with a thermostat, their statistics is exactly Gaussian and the modes are statistically independent despite strong interaction.…
Fibonacci turbulence
Natalia Vladimirova, Michal Shavit, Gregory Falkovich
Never is the difference between thermal equilibrium and turbulence so dramatic, as when a quadratic invariant makes the equilibrium statistics exactly Gaussian with independently f…