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On the stability of isothermal shocks in black hole accretion disks
Eric W. Hester, Geoffrey M. Vasil, Martin Wechselberger
Most black holes possess accretion disks. Models of such disks inform observations and constrain the properties of the black holes and their surrounding medium. Here, we study isot…
A study of the double pendulum using polynomial optimization
Jeremy P Parker, David Goluskin, Geoffrey M Vasil
In dynamical systems governed by differential equations, a guarantee that trajectories emanating from a given set of initial conditions do not enter another given set can be obtain…
Convection in a mushy-layer along a heated wall
Samuel Boury, Colin R. Meyer, Geoffrey M. Vasil +1
Motivated by the mushy zones of sea ice, volcanoes, and icy moons of the outer solar system, we perform a theoretical and numerical study of boundary-layer convection along a verti…