2 papers
math-ph2025
Solitary wave-mean flow interaction in strongly nonlineardispersive shallow water waves
Thibault Congy, Gennady El, Sergey Gavrilyuk +2
The interaction of a solitary wave and a slowly varying mean background or flow for the Serre-Green-Naghdi (SGN) equations is studied using Whitham modulation theory. The exact for…
physics.flu-dyn2024
A geometrical Green-Naghdi type system for dispersive-like waves in prismatic channels
Sergey Gavrilyuk, Mario Ricchiuto
We consider 2D free surface gravity waves in prismatic channels with bathymetric variations uniquely in the transverse direction. Starting from the Saint-Venant equations (shallow…