scholarly journals Gauss-compatible Galerkin schemes for time-dependent Maxwell equations

2016 ◽  
Vol 85 (302) ◽  
pp. 2651-2685 ◽  
Author(s):  
Martin Campos Pinto ◽  
Eric Sonnendrücker
Keyword(s):  
Maxwell Equations ◽  
Time Dependent

scholarly journals Parabolic-hyperbolic time-dependent Ginzburg-Landau-Maxwell equations

2006 ◽  
Vol 64 (4) ◽  
pp. 617-639 ◽  
Author(s):  
Valeria Berti ◽  
Stefania Gatti
Keyword(s):  
Maxwell Equations ◽  
Time Dependent ◽  
Ginzburg Landau

An action principle for the Vlasov equation and associated Lie perturbation equations. Part 2. The Vlasov–Maxwell system

1993 ◽  
Vol 49 (2) ◽  
pp. 255-270 ◽  
Author(s):  
Jonas Larsson
Keyword(s):  
Distribution Function ◽  
Vlasov Equation ◽  
Maxwell Equations ◽  
Particle Distribution ◽  
Action Principle ◽  
Time Dependent ◽  
Maxwell System ◽  
Dynamical Equations ◽  
Hamiltonian Structures ◽  
Small Parameters

An action principle for the Vlasov–Maxwell system in Eulerian field variables is presented. Thus the (extended) particle distribution function appears as one of the fields to be freely varied in the action. The Hamiltonian structures of the Vlasov–Maxwell equations and of the reduced systems associated with small-ampliltude perturbation calculations are easily obtained. Previous results for the linearized Vlasov–Maxwell system are generalized. We find the Hermitian structure also when the background is time-dependent, and furthermore we may now also include the case of non-Hamiltonian perturbations within the Hamiltonian-Hermitian context. The action principle for the Vlasov–Maxwell system appears to be suitable for the derivation of reduced dynamical equations by expanding the action in various small parameters.

Sign in / Sign up

Export Citation Format

Share Document