22 citations · 66 across the 7 of their papers we have counts for
8 papers
Generalized modulation theory for strongly nonlinear gravity waves in a compressible atmosphere
Mark Schlutow, Erik Wahlén
This study investigates nonlinear gravity waves in the compressible atmosphere from the Earth's surface to the deep atmosphere. These waves are effectively described by Grimshaw's…
Spectral stability of nonlinear gravity waves in the atmosphere
Mark Schlutow, Erik Wahlén, Philipp Birken
We apply spectral stability theory to investigate nonlinear gravity waves in the atmosphere. These waves are determined by modulation equations that result from Wentzel-Kramers-Bri…
Solitary wave solutions to a class of modified Green-Naghdi systems
Vincent Duchêne, Dag Nilsson, Erik Wahlén
We provide the existence and asymptotic description of solitary wave solutions to a class of modified Green-Naghdi systems, modeling the propagation of long surface or internal wav…
A variational approach to solitary gravity-capillary interfacial waves with infinite depth
Dominic Breit, Erik Wahlén
We present an existence and stability theory for gravity-capillary solitary waves on the top surface of and interface between two perfect fluids of different densities, the lower o…
A variational reduction and the existence of a fully-localised solitary wave for the three-dimensional water-wave problem with weak surface tension
Boris Buffoni, Mark D. Groves, Erik Wahlén
Fully localised solitary waves are travelling-wave solutions of the three-dimensional gravity-capillary water wave problem which decay to zero in every horizontal spatial direction…
Trimodal steady water waves
Mats Ehrnström, Erik Wahlén
We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves on finite depth. The solutions contain counter-currents and multiple crests…
Existence and conditional energetic stability of solitary gravity-capillary water waves with constant vorticity
M. D. Groves, E. Wahlén
We present an existence and stability theory for gravity-capillary solitary waves with constant vorticity on the surface of a body of water of finite depth. Exploiting a rotational…
Steady water waves with multiple critical layers
Mats Ehrnström, Joachim Escher, Erik Wahlén
We construct small-amplitude periodic water waves with multiple critical layers. In addition to waves with arbitrarily many critical layers and a single crest in each period, two-d…