13 citations · 13 across the 4 of their papers we have counts for
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Bounds for inertialess dynamo
Ali Arslan, Hezekiah Grayer
We derive necessary conditions for instantaneous dynamo action for rotating convection. A magnetohydrodynamic model is considered in two settings: the rapidly rotating plane layer…
Radiative Vlasov-Maxwell Equations
Peter Constantin, Hezekiah Grayer
The Radiative Vlasov-Maxwell equations model the radiative kinetics of collisionless relativistic plasma. In them the Lorentz force is modified by the addition of radiation reactio…
On the distribution of heat in fibered magnetic fields
Theodore D. Drivas, Daniel Ginsberg, Hezekiah Grayer
We study the equilibrium temperature distribution in a model for strongly magnetized plasmas in dimension two and higher. Provided the magnetic field is sufficiently structured (in…
Dynamics of density patches in infinite Prandtl number convection
Hezekiah Grayer
This work examines the dynamics of density patches in the 2D zero-diffusivity Boussinesq system modified such that momentum is in a large Prandtl number balance. We establish the g…