Blar i NTNU Open på forfatter "Varholm, Kristoffer"
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Global bifurcation of waves with multiple critical layers
Varholm, Kristoffer (Journal article; Peer reviewed, 2020)Analytic global bifurcation theory is used to construct a large variety of families of steady periodic two-dimensional gravity water waves with real-analytic vorticity distributions, propagating in an incompressible fluid. ... -
On steady water waves with stagnation points
Varholm, Kristoffer (Doctoral theses at NTNU;2019:250, Doctoral thesis, 2019) -
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 ... -
Solitary gravity-capillary water waves with point vortices
Varholm, Kristoffer (Journal article; Peer reviewed, 2016) -
Solutions in Dispersive Equations and Steady Waves with Vorticity
Xue, Jun (Doctoral theses at NTNU;2023:292, Doctoral thesis, 2023) -
Traveling gravity water waves with critical layers
Varholm, Kristoffer; Aasen, Ailo (Journal article; Peer reviewed, 2017)We establish the existence of small-amplitude uni- and bimodal steady periodic gravity waves with an affine vorticity distribution, using a bifurcation argument that differs slightly from earlier theory. The solutions ... -
Water waves with compactly supported vorticity: A functional-analytic approach to bifurcation theory and the mathematical theory of traveling water waves
Varholm, Kristoffer (Master thesis, 2014)We study the mathematical theory of water waves. Local bifurcation theory is also discussed, including the Crandall-Rabinowitz theorem; an abstract theorem used to establish the presence of bifurcation points in the zero ...