𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A low velocity approximation for the relativistic Vlasov-Maxwell system

✍ Scribed by Donald J. McGillen

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
514 KB
Volume
18
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

An approximation for the relativistic Vlasov‐Maxwell (RVM) system of partial differential equations in the one‐space, two‐momenta case is proposed. The speed of light, c, appears as a parameter in this system. The approximation is obtained by modifying certain integral operators appearing in integral representations, due to Glassey and Strauss, of the electric and magnetic fields, and replaces the hyperbolic Maxwell system with one that is elliptic in nature (for each fixed t). Solutions of the modified problem are shown to converge in a pointwise sense to solutions of (RVM) at the asymptotic rate of 1/c^2^ as c tends to infinity.

📜 SIMILAR VOLUMES

A conservative scheme for the relativist
A conservative scheme for the relativistic Vlasov–Maxwell system
✍ Akihiro Suzuki; Toshikazu Shigeyama 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 1017 KB

A new scheme for numerical integration of the 1D2V relativistic Vlasov-Maxwell system is proposed. Assuming that all particles in a cell of the phase space move with the same velocity as that of the particle located at the center of the cell at the beginning of each time step, we successfully integr

A Numerical Scheme for the Integration o
A Numerical Scheme for the Integration of the Vlasov–Maxwell System of Equations
✍ A. Mangeney; F. Califano; C. Cavazzoni; P. Travnicek 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 454 KB

We present a discussion of some numerical algorithms for the solution of the Vlasov-Maxwell system of equations in the magnetized, nonrelativistic case. We show that a splitting scheme combined with a Van Leer type of discretization provides an efficient and accurate scheme for integrating the motio