Confined steady states of a Vlasov-Poisson plasma in an infinitely long cylinder
arXiv:1805.04009 · doi:10.1002/mma.5728
Abstract
We consider the two-dimensional Vlasov-Poisson system to model a two-component plasma whose distribution function is constant with respect to the third space dimension. First, we show how this two-dimensional Vlasov-Poisson system can be derived from the full three-dimensional system. The existence of compactly supported steady states with vanishing electric potential in a three-dimensional setting has already been investigated by A. L. Skubachevskii [15]. We show that his approach can easily be adapted to the two-dimensional system. However, our main result is to prove the existence of compactly supported steady states even with a nontrivial self-consistent electric potential.
References in corpus (3)
Cited by in corpus (5)
- A general way to confined stationary Vlasov-Poisson plasma configurations
- The Kinetic and Hydrodynamic Bohm Criterions for Plasma Sheath Formation
- Controlling a Vlasov-Poisson plasma by a Particle-In-Cell method based on a Monte Carlo framework
- Confined Steady States of a Relativistic Vlasov-Maxwell Plasma in a Long Cylinder
- On the two and one-half dimensional Vlasov-Poisson system with an external magnetic field: global well-posedness and stability of confined steady states