4 citations · 4 across the 3 of their papers we have counts for
6 papers
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…
Classical Solutions for the 3D Quasi-Geostrophic System on a Bounded Domain
Matthew Novack, Alexis Vasseur
We revisit a model for three-dimensional, inviscid quasi-geostrophic flow on bounded, cylindrical domains introduced by the authors in \cite{nv18}. We prove the local-in-time exist…
Non-uniqueness of Weak Solutions to the 3D Quasi-Geostrophic Equations
Matthew Novack
We show that weak solutions to the 3D quasi-geostrophic system in the class for are not unique and may achieve any smooth, non-negative energy profile.…
The Inviscid 3D Quasi-Geostrophic System on Bounded Domains
Matthew Novack, Alexis Vasseur
We present a formal derivation of the inviscid 3D quasi-geostrophic system (QG) from primitive equations on a bounded, cylindrical domain. A key point in the derivation is the trea…