Nonlocal nonlinear electrostatic gyrofluid equations

Abstract

Building on Lagrangian field theory methods of fluid dynamics, we construct a set of equations for an electrostatic gyrofluid model which can treat arbitrarily nonlinear situations. Noether’s theorem is used to find the exact energy theorem satisfied by the equations. The exchange of energy between the E×B fluid drift and thermal/kinetic parts of the dynamics is recovered rigorously. Diamagnetic cancellations are inserted manually.