32 citations · 93 across the 12 of their papers we have counts for
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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…
Exact Boundary Controllability for the Ideal Magneto-hydrodynamic Equations
Igor Kukavica, Matthew Novack, Vlad Vicol
We address the problem of controllability of the MHD system in a rectangular domain with a control prescribed on the side boundary. We identify a necessary and sufficient condition…
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…
Non-conservative weak solutions of the incompressible 3D Euler equations
Tristan Buckmaster, Nader Masmoudi, Matthew Novack +1
For any positive regularity parameter , we construct non-conservative weak solutions of the 3D incompressible Euler equations which lie in uniformly in time. In…