On the high frequency limit of the LLL equation

Pierre Germain (1) , Laurent Thomann (2)

1 CIMS - Courant Institute of Mathematical Sciences [New York]
2 IECL - Institut Élie Cartan de Lorraine

We derive heuristically an integro-differential equation, as well as a shell model, governing the dynamics of the Lowest Landau Level equation in a high frequency regime.

Mots clés: shell model; Lowest Landau Level

Domaines: Equations aux dérivées partielles [math.AP]

Pierre Germain, Laurent Thomann. On the high frequency limit of the LLL equation. Quarterly of Applied Mathematics, 2016, 74 (4), pp.633-641. ⟨10.1090/qam/1435⟩. ⟨hal-01206420⟩