On the harmonic Boltzmannian waves in laser-plasma interaction

Mihai Bostan (1, 2) , Simon Labrunie (3)

1 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique
2 CAIMAN - Scientific computing, modeling and numerical analysis
3 CALVI - Scientific computation and visualization

We study the permanent regimes of the reduced Vlasov-Maxwell system for laser-plasma interaction. A non-relativistic and two different relativistic models are investigated. We prove the existence of solutions where the distribution function is Boltzmannian and the electromagnetic variables are time-harmonic and circularly polarized.

Mots clés: harmonic solutions; Vlasov--Maxwell system; laser-plasma interaction

Domaines: Equations aux dérivées partielles [math.AP]

Mihai Bostan, Simon Labrunie. On the harmonic Boltzmannian waves in laser-plasma interaction. Journal of Physics A: Mathematical and Theoretical, 2006, 39 (37), pp.11697-11706. ⟨10.1088/0305-4470/39/37/022⟩. ⟨hal-00094341⟩