12 citations · 12 across the 9 of their papers we have counts for
10 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…
A maximisation technique for solitary waves: the case of the nonlocally dispersive Whitham equation
Mathias Nikolai Arnesen, Mats Ehrnstrom, Atanas G. Stefanov
Recently, two different proofs for large and intermediate-size solitary waves of the nonlocally dispersive Whitham equation have been presented, using either global bifurcation the…
A direct construction of a full family of Whitham solitary waves
Mats Ehrnström, Katerina Nik, Christoph Walker
Starting with the periodic waves earlier constructed for the gravity Whitham equation, we parameterise the solution curves through relative wave height, and use a limiting argument…
Smooth stationary water waves with exponentially localized vorticity
Mats Ehrnström, Samuel Walsh, Chongchun Zeng
We study stationary capillary-gravity waves in a two-dimensional body of water that rests above a flat ocean bed and below vacuum. This system is described by the Euler equations w…
A conditional well-posedness result for the bidirectional Whitham equation
Mats Ehrnström, Long Pei, Yuexun Wang
We consider the initial-value problem for the bidirectional Whitham equation, a system which combines the full two-way dispersion relation from the incompressible Euler equations w…
Steady-state fingering patterns for a periodic Muskat problem
Mats Ehrnstrom, Joachim Escher, Bogdan-Vasile Matioc
We study global bifurcation branches consisting of stationary solutions of the Muskat problem. It is proved that the steady-state fingering patterns blow up as the surface tension…