English

Long time behavior for collisional strongly magnetized plasma in three space dimensions

Analysis of PDEs 2025-01-17 v3

Abstract

We consider the long time evolution of a population of charged particles, under strong magnetic fields and collision mechanisms. We derive a fluid model and justify the asymptotic behavior toward smooth solutions of this regime. In three space dimensions, a constraint ocurs along the parallel direction. For eliminating the corresponding Lagrange multiplier, we average along the magnetic lines.

Keywords

Cite

@article{arxiv.2303.16669,
  title  = {Long time behavior for collisional strongly magnetized plasma in three space dimensions},
  author = {Mihaï Bostan and Anh-Tuan Vu},
  journal= {arXiv preprint arXiv:2303.16669},
  year   = {2025}
}
R2 v1 2026-06-28T09:39:50.145Z