2 papers
physics.flu-dyn2025
Rediscovering shallow water equations from experimental data
Kjell S. Heinrich, Douglas S. Seth, Mats Ehrnstrom +1
New data-driven methods have advanced the discovery of governing equations from observations, enabling parsimonious models for complex systems. Here, we 'rediscover' a shallow-wate…
math.AP2019
An existence theory for small-amplitude doubly periodic water waves with vorticity
Evgeniy Lokharu, Douglas Svensson Seth, Erik Wahlén
We prove the existence of three-dimensional steady gravity-capillary waves with vorticity on water of finite depth. The waves are periodic with respect to a given two-dimensional l…