108 citations · 399 across the 26 of their papers we have counts for
28 papers
Long time dynamics and anomalous dissipation of energy in viscous forced active scalar equations
Susan Friedlander, Anthony Suen
We study an abstract family of advection-diffusion equations within the framework of the fractional Laplacian. The system involves two independent diffusion parameters: one introdu…
Ill/well-posedness of non-diffusive active scalar equations with physical applications
Susan Friedlander, Anthony Suen, Fei Wang
We consider a general class of non-diffusive active scalar equations with constitutive laws obtained via an operator that is singular of order . For $r_0\…
Dyadic models for fluid equations: a survey
Alexey Cheskidov, Mimi Dai, Susan Friedlander
Over the centuries mathematicians have been challenged by the partial differential equations (PDEs) that describe the motion of fluids in many physical contexts. Important and beau…
Uniqueness and non-uniqueness results for dyadic MHD models
Mimi Dai, Susan Friedlander
We construct non-unique Leray-Hopf solutions for some dyadic models for magnetohydrodynamics when the intermittency dimension is less than 1. In contrast, uniqueness of Leray-H…
On Moffatt's magnetic relaxation equations
Rajendra Beekie, Susan Friedlander, Vlad Vicol
We investigate the stability properties for a family of equations introduced by Moffatt to model magnetic relaxation. These models preserve the topology of magnetic streamlines, co…
Dyadic models for ideal MHD
Mimi Dai, Susan Friedlander
We study two dyadic models for incompressible ideal magnetohydrodynamics, one with a uni-directional energy cascade and the other one with both forward and backward energy cascades…