184 citations · 668 across the 17 of their papers we have counts for
17 papers
Non-linear Dynamical Stability of Magnetic Polytropes
Bryan M Johnson
This work analyzes the non-linear dynamical stability of ideal-gas polytropes under homologous flow. A non-constant density profile requires the inclusion of magnetic fields, which…
Three temperature plasma shock solutions with gray radiation diffusion
Bryan M. Johnson, Richard I. Klein
The effects of radiation on the structure of shocks in a fully-ionized plasma are investigated by solving the steady-state fluid equations for ions, electrons, and radiation. The e…
Buoyancy instability of homologous implosions
Bryan M. Johnson
I consider the hydrodynamic stability of imploding gases as a model for inertial confinement fusion capsules, sonoluminescent bubbles and the gravitational collapse of astrophysica…
Closed-form shock solutions
Bryan M. Johnson
It is shown here that a subset of the implicit analytical shock solutions discovered by Becker and by Johnson can be inverted, yielding several exact closed-form solutions of the o…
On the Interaction between Turbulence and a Planar Rarefaction
Bryan M. Johnson
The modeling of turbulence, whether it be numerical or analytical, is a difficult challenge. Turbulence is amenable to analysis with linear theory if it is subject to rapid distort…
Analytical shock solutions at large and small Prandtl number
Bryan M. Johnson
Exact one-dimensional solutions to the equations of fluid dynamics are derived in the large-Pr and small-Pr limits (where Pr is the Prandtl number). The solutions are analogous to…