Nonlinear gyrokinetic Maxwell-Vlasov equations using magnetic co-ordinates
نویسندگان
چکیده
منابع مشابه
Nonlinear relativistic gyrokinetic Vlasov-Maxwell equations
A set of self-consistent nonlinear gyrokinetic equations is derived for relativistic charged particles in a general nonuniform magnetized plasma. Full electromagnetic-field fluctuations are considered with spatial and temporal scales given by the low-frequency gyrokinetic ordering. Self-consistency is obtained by combining the nonlinear relativistic gyrokinetic Vlasov equation with the low-freq...
متن کاملHamiltonian gyrokinetic Vlasov–Maxwell system
Article history: Received 25 June 2015 Accepted 26 June 2015 Available online 30 June 2015 Communicated by C.R. Doering
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 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 کاملDiscontinuous Galerkin Methods for Vlasov-maxwell Equations
In this paper, we propose to use discontinuous Galerkin methods to solve the Vlasov-Maxwell system. Those methods are chosen because they can be designed systematically as accurate as one wants, meanwhile with provable conservation of mass and possibly also of the total energy. Such property in general is hard to achieve within other numerical method frameworks to simulate the Vlasov-Maxwell sy...
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: Journal of Plasma Physics
سال: 1989
ISSN: 0022-3778,1469-7807
DOI: 10.1017/s0022377800014070