Stationary Solutions to the Vlasov-Poisson System

Fahd Karami (1, 2, 3) , Simon Labrunie (2, 3) , Bruno Pinçon (2, 4)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée
2 IECN - Institut Élie Cartan de Nancy
3 CALVI - Scientific computation and visualization
4 CORIDA - Robust control of infinite dimensional systems and applications

In this paper, we present an existence and uniqueness result for stationary Vlasov Poisson system and we study the asymptotic behavior of the solution near the corner.

Mots clés: polygonal domains; asymptotic analysis; Vlasov-Poisson; plasma physics

Domaines: Equations aux dérivées partielles [math.AP]

Fahd Karami, Simon Labrunie, Bruno Pinçon. Stationary Solutions to the Vlasov-Poisson System. 2010. ⟨hal-00501842v1⟩