We present a nonhydrostatic ocean model with an isopycnal (density-following) vertical
coordinate system. The primary motivation for the model is the proper treatment of …

A Hamiltonian reduction approach is defined, studied, and finally used to derive asymptotic
models of internal wave propagation in density stratified fluids in two-dimensional domains …

This document is an announcement and preview of a memoir whose full version is available
on the Open Math Notes repository of the American Mathematical Society (OMN …

Two and three‐layer models of stratified flows in hydrostatic balance are studied. For the
former, nonlinear transformations are found that map [baroclinic] two‐layer flows with either …

Coastal hazards related to strong storms such as hurricanes and typhoons are one of the
most frequently recurring and wide spread hazards to coastal communities. Storm surges …

We analyse the hyperbolicity of our multilayer shallow water equations that include the
complete Coriolis force due to the Earth's rotation. Shallow water theory represents flows in …

Stability of inviscid shear shallow water flows with free surface is studied in the framework of
the Benney equations. This is done by investigating the generalized hyperbolicity of the …

Confinement effects by rigid boundaries in the dynamics of ideal fluids are considered from
the perspective of long-wave models and their parent Euler systems, with the focus on the …

In this paper, we investigate periodic travelling waves in a three-layer system with the rigid-
lid assumption. Solutions are recovered numerically using a boundary integral method. We …

The theory of integrable systems of Hamiltonian PDEs and their near-integrable
deformations is used to study evolution equations resulting from vertical-averages of the …