Atmospheric flows feature length scales from 10− 5 to 105 m and timescales from
microseconds to weeks or more. For scales above several kilometers and minutes, there is a …

Wind forcing of the ocean generates a spectrum of inertia–gravity waves that is sharply
peaked near the local inertial (or Coriolis) frequency. The corresponding near-inertial waves …

The motion of fluids from the smaller to the large scales is described by a complex interplay
between the momentum equations and the equations describing the thermodynamics of the …

In this study we give a characterization of semi-geostrophic turbulence by performing freely
decaying simulations for the case of constant uniform potential vorticity, a set of equations …

By using Monge–Ampère geometry, we study the singular structure of a class of nonlinear
Monge–Ampère equations in three dimensions, arising in geophysical fluid dynamics. We …

Geophysical flows comprise a broad range of spatial and temporal scales, from planetary-to
meso-scale and microscopic turbulence regimes. The relation of scales and flow …

Irreversible processes play a major role in the description and prediction of atmospheric
dynamics. In this paper, we present a variational derivation for moist atmospheric dynamics …

The equations of reversible (inviscid, adiabatic) fluid dynamics have a well-known
variational formulation based on Hamilton's principle and the Lagrangian, to which is …

Parcel Eulerian–Lagrangian Hamiltonian formulations have recently been used in structure-
preserving numerical schemes, asymptotic calculations and in alternative explanations of …

We give an exponentially accurate normal form for a Lagrangian particle moving in a
rotating shallow-water system in the semigeostrophic limit, which describes the motion in the …