… dynamics, which explains its frequent use in applications. Besides, nonlinear dynamics of the
… , as it embraces vortex dynamics, wave–vortex interaction, and nonlinear dynamics of both …

… fundamentals of rotating shallow water model in the geophysical fluid dynamics perspective.
The oceans and the atmosphere are thin stratified fluid layers on the rotating sphere with …

… advances made in recent years that yielded new analytical solutions of the rotating shallow-water
… of geophysical fluid dynamics, physical oceanography, dynamical meteorology, and …

… If we compare the thickness and latitudinal flow profiles as time advances, we can see … and
the differential rotation that gives rise to them. We show that the nonlinear dynamics result in …

… model Recent progress in finite-volume numerical schemes for shallow-… modelling of fully
nonlinear dynamics. We apply the high-resolution finite-volume numerical method by Bouchut (…

… tested in (non-rotating) gas dynamics. The only subtle point is … procedure is motivated by
the constant progress of the highresolution shock-capturing finite-volume computation methods …

… rotating shallowwater equations. The results of the saturation for different instabilities are
shown to produce very different secondary coherent structures. The influence of the topography …

… We show how the rotating shallow-water MHD model, which was proposed in … MHD equations
for the rotating magneto fluid under the influence of gravity. The … This work is in progress. …

… Traditionally, rotating shallow water system has been used to study nonlinear interactions
… by unsteady motions of nearly balanced vortical flows in rotating shallow water system. …

A specific instability of vortices is found in rotating shallow water equations with horizontal
density/temperature gradients, which is used for modelling atmospheric and oceanic mixed …