Potential Vorticity Formulation of Compressible Magnetohydrodynamics

PUBLISHED VERSION Potential Vorticity Formulation of Compressible Magnetohydrodynamics

A Hamiltonian Vorticity-dilatation Formulation of the Compressible Euler Equations

Using the Hodge decomposition on bounded domains the compressible Euler equations of gas dynamics are reformulated using a density weighted vorticity and dilatation as primary variables, together with the entropy and density. This formulation is an extension to compressible flows of the well-known vorticity-stream function formulation of the incompressible Euler equations. The Hamiltonian and a...

Generalized entropy formulation of dissipative magnetohydrodynamics.

A variational-principle formulation of dissipative magnetohydrodynamics (DMHD) including thermal conduction and viscous dissipation as well as resistive decay is presented. The functional to be minimized is an extension of the generalized entropy-production (GEP) rate first discussed by I. Prigogine [Nonequilibrium Thermodynamics, Variationa! Techniques, and Stability, edited by R. J. Donnelly,...

Weak and strong solutions of equations of compressible magnetohydrodynamics

Lagrangian analysis of alignment dynamics for isentropic compressible magnetohydrodynamics

After a review of the isentropic compressible magnetohydrodynamics (ICMHD) equations, a quaternionic framework for studying the alignment dynamics of a general fluid flow is explained and applied to the ICMHD equations.