3 papers
math.AP2026
Solitary wave formation in the compressible Euler equations
David I. Ketcheson, Giovanni Russo
We study the behavior of perturbations in a compressible one-dimensional inviscid gas with an ambient state consisting of constant pressure and periodically-varying density. We sho…
math.AP2025
A dispersive effective equation for transverse propagation of planar shallow water waves over periodic bathymetry
David I. Ketcheson, Giovanni Russo
We study the behavior of shallow water waves propagating over bathymetry that varies periodically in one direction and is constant in the other. Plane waves traveling along the con…
math.AP2025
A multiscale model for weakly nonlinear shallow water waves over periodic bathymetry
David I. Ketcheson, Lajos Lóczi, Giovanni Russo
We study the behavior of shallow water waves over periodically-varying bathymetry, based on the first-order hyperbolic Saint-Venant equations. Although solutions of this system are…