108 citations · 399 across the 26 of their papers we have counts for
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A continuous model for turbulent energy cascade
Alexey Cheskidov, Susan Friedlander, Roman Shvydkoy
In this paper we introduce a new PDE model in frequency space for the inertial energy cascade that reproduces the classical scaling laws of Kolmogorov's theory of turbulence. Our p…
On the supercritically diffusive magneto-geostrophic equations
Susan Friedlander, Walter Rusin, Vlad Vicol
We address the well-posedness theory for the magento-geostrophic equation, namely an active scalar equation in which the divergence-free drift velocity is one derivative more singu…
On the ill/well-posedness and nonlinear instability of the magneto-geostrophic equations
Susan Friedlander, Vlad C. Vicol
We consider an active scalar equation that is motivated by a model for magneto-geostrophic dynamics and the geodynamo. We prove that the non-diffusive equation is ill-posed in the…
Higher regularity of Holder continuous solutions of parabolic equations with singular drift velocities
Susan Friedlander, Vlad Vicol
Motivated by an equation arising in magnetohydrodynamics, we prove that Holder continuous weak solutions of a nonlinear parabolic equation with singular drift velocity are classica…