11 citations · 15 across the 5 of their papers we have counts for
5 papers
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…
Asymmetric travelling wave solutions of the capillary-gravity Whitham Equation
Ola Mæhlen, Douglas Svensson Seth
By a bifurcation argument we prove that the capillary-gravity Whitham equation features asymmetrical periodic travelling wave solution of arbitrarily small amplitude. Such waves ex…
Internal doubly periodic gravity-capillary waves with vorticity
Douglas Svensson Seth
We consider a multi-fluid system with several free interfaces. For this system we prove existence of three-dimensional steady gravity-capillary waves with non-zero vorticity. We ob…
Symmetric doubly periodic gravity-capillary waves with small vorticity
Douglas Svensson Seth, Kristoffer Varholm, Erik Wahlén
We construct small amplitude gravity-capillary water waves with small nonzero vorticity, in three spatial dimensions, bifurcating from uniform flows. The waves are symmetric, and p…
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…