Anomalous transport

Christophe Cheverry (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

This article is concerned with the relativistic Vlasov equation, for collisionless axisymmetric plasmas immersed in a strong magnetic field, like in tokamaks. It provides a consistent kinetic treatment of the microscopic particle phase-space dynamics. It shows that the turbulent transport can be completely described through WKB expansions.

Mots clés: Turbulence theory; WKB method; plasma physics; ordinary differential equations; dynamical system; averaging methods; nearly integrable systems; Vlasov equation

Domaines: Equations aux dérivées partielles [math.AP]

Christophe Cheverry. Anomalous transport. Journal of Differential Equations, 2017, 262 (3), pp.2987-3033. ⟨10.1016/j.jde.2016.11.012⟩. ⟨hal-01315191⟩