# Confined steady states of the relativistic Vlasov–Maxwell system in an infinitely long cylinder

@article{Weber2020ConfinedSS, title={Confined steady states of the relativistic Vlasov–Maxwell system in an infinitely long cylinder}, author={J{\"o}rg Weber}, journal={arXiv: Mathematical Physics}, year={2020} }

The time evolution of a collisionless plasma is modeled by the relativistic Vlasov-Maxwell system which couples the Vlasov equation (the transport equation) with the Maxwell equations of electrodynamics. In this work, the setting is two and one-half dimensional, that is, the distribution functions of the particles species are independent of the third space dimension. We consider the case that the plasma is located in an infinitely long cylinder and is influenced by an external magnetic field…

## 2 Citations

A general way to confined stationary Vlasov-Poisson plasma configurations

- Mathematics
- 2020

We address the existence of stationary solutions of the Vlasov-Poisson system on a domain $\Omega\subset\mathbb{R}^3$ describing a high-temperature plasma which due to the influence of an external…

On the two and one-half dimensional Vlasov–Poisson system with an external magnetic field: Global well-posedness and stability of confined steady states

- MathematicsNonlinear Analysis: Real World Applications
- 2022

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