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math.AP2021
Non-conservative solutions of the Euler- equations
Rajendra Beekie, Matthew Novack
The Euler- equations model the averaged motion of an ideal incompressible fluid when filtering over spatial scales smaller than . We show that there exists such that we…
math.AP2021★ 4 cited
Enhanced dissipation and Hörmander's hypoellipticity
Dallas Albritton, Rajendra Beekie, Matthew Novack
We examine the phenomenon of enhanced dissipation from the perspective of Hörmander's classical theory of second order hypoelliptic operators [31]. Consider a passive scalar in a s…
math.AP2021
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…