The Maxwell–Vlasov equations in Euler–Poincaré form
The Maxwell–Vlasov equations in Euler–Poincaré form
Low’s well-known action principle for the Maxwell–Vlasov equations of ideal plasma dynamics was originally expressed in terms of a mixture of Eulerian and Lagrangian variables. By imposing suitable constraints on the variations and analyzing invariance properties of the Lagrangian, as one does for the Euler equations for the rigid body …