Blar i NTNU Open på forfatter "Wahlén, Erik"
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On the Stability of Solitary Water Waves with a Point Vortex
Varholm, Kristoffer; Wahlén, Erik; Walsh, Samuel (Journal article; Peer reviewed, 2020)This paper investigates the stability of traveling wave solutions to the free boundary Euler equations with a submerged point vortex. We prove that sufficiently small‐amplitude waves with small enough vortex strength are ... -
On Whitham's conjecture of a highest cusped wave for a nonlocal dispersive equation
Ehrnstrom, Mats; Wahlén, Erik (Peer reviewed; Journal article, 2019)We consider the Whitham equation ut + 2uux + Lux = 0, where L is the nonlocal Fourier multiplier operator given by the symbol m(ξ) = p tanh ξ/ξ. G. B. Whitham conjectured that for this equation there would be a highest, ... -
Solitary wave solutions to a class of modified Green-Naghdi systems
Duchene, Vincent; Nilsson, Dag Viktor; Wahlén, Erik (Journal article; Peer reviewed, 2018)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 waves. This class was recently proposed by ...