title: Statistical mechanics of the shallow water system.
abstract: We extend the formalism of statistical mechanics developed for the two-dimensional (2D) Euler equation to the case of shallow water system. Relaxation equations towards the maximum entropy state are proposed, which provide a parametrization of subgrid-scale eddies in 2D compressible turbulence.
authors.affiliation: Laboratoire de Physique Quantique (CNRS UMR 5626), Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France.
authors.forename: P H
authors.initials: PH
authors.lastname: Chavanis
authors.forename: J
authors.initials: J
authors.lastname: Sommeria