Perturbative variational formulation of the Vlasov-Maxwell equations
نویسندگان
چکیده
منابع مشابه
Variational Formulations of Exact and Reduced Vlasov-Maxwell Equations
The foundations of gyrokinetic theory are reviewed with an emphasis on the applications of Lagrangian and Hamiltonian methods used in the derivation of nonlinear gyrokinetic Vlasov-Maxwell equations. These reduced dynamical equations describe the turbulent evolution of low-frequency electromagnetic fluctuations in nonuniform magnetized plasmas with arbitrary magnetic geometry.
متن کاملHomogenization of the 1D Vlasov-Maxwell equations
In this report we investigate the homogenization of the one dimensional Vlasov-Maxwell system. We indicate the rate of convergence towards the limit solution. In the non relativistic case we compute explicitly the limit solution. The theoretical results are illustrated by some numerical simulations. Résumé : Dans ce rapport nous analysons l'homogénéisation des équations de Vlasov-Maxwell 1D. Da...
متن کاملDistributional solutions to the Maxwell-Vlasov equations
The distributional form of the Maxwell-Vlasov equations are formulated. Submanifold distributions are analysed and the general submanifold distributional solutions to the Vlasov equations are given. The properties required so that these solutions can be a distributional source to Maxwell’s equations are analysed and it is shown that a sufficient condition is that spacetime be globally hyperboli...
متن کاملHamiltonian splitting for the Vlasov-Maxwell equations
— A new splitting is proposed for solving the Vlasov–Maxwell system. This splitting is based on a decomposition of the Hamiltonian of the Vlasov–Maxwell system and allows for the construction of arbitrary high order methods by composition (independent of the specific deterministic method used for the discretization of the phase space). Moreover, we show that for a spectral method in space this ...
متن کاملSplitting methods for Vlasov–Poisson and Vlasov–Maxwell equations
A rigorous convergence analysis of the Strang splitting algorithm for Vlasov-type equations in the setting of abstract evolution equations is provided. It is shown that, under suitable assumptions, the convergence is of second order in the time step τ . As an example, it is verified that the Vlasov–Poisson equations in 1+1 dimensions fit into the framework of this analysis. Further, numerical e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics of Plasmas
سال: 2018
ISSN: 1070-664X,1089-7674
DOI: 10.1063/1.5049570