A Vlasov equation with Dirac potential used in fusion plasmas

Claude Bardos (1) , Anne Nouri (2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités

Well-posedness of the Cauchy problem is analyzed for a singular Vlasov equation governing the evolution of the ionic distribution function of a quasineutral fusion plasma. The Penrose criterium is adapted to the linearized problem around a time and space homogeneous distribution function showing (due to the singularity) more drastic differences between stable and unstable situations.

Domaines: Equations aux dérivées partielles [math.AP]

Claude Bardos, Anne Nouri. A Vlasov equation with Dirac potential used in fusion plasmas. Journal of Mathematical Physics, 2012, 53 (11), pp.115621. ⟨hal-00830909⟩