5 papers
An improved upper bound for the Froude number of irrotational solitary water waves
Evgeniy Lokharu, Jörg Weber
A classical and central problem in the theory of water waves is to classify parameter regimes for which non-trivial solitary waves exist. In the two-dimensional, irrotational, pure…
Rigidity of symmetric doubly-periodic water waves near shear flows
Douglas Svensson Seth, Kristoffer Varholm, Erik Wahlén +1
We prove that symmetric, doubly periodic, capillary-gravity water waves in finite depth bifurcating from non-uniform non-stagnant shear flows are necessarily two-dimensional to lea…
Axisymmetric capillary water waves with vorticity and swirl connecting to static unduloid configurations
Anna-Mariya Otsetova, Erik Wahlén, Jörg Weber
We study steady axisymmetric water waves with general vorticity and swirl, subject to the influence of surface tension. Explicit solutions to such a water wave problem are static c…
Large-amplitude steady gravity water waves with general vorticity and critical layers
Erik Wahlén, Jörg Weber
We consider two-dimensional steady periodic gravity waves on water of finite depth with a prescribed but arbitrary vorticity distribution. The water surface is allowed to be overha…
Controlling a Vlasov-Poisson plasma by a Particle-In-Cell method based on a Monte Carlo framework
Jan Bartsch, Patrik Knopf, Stefania Scheurer +1
The Vlasov-Poisson system describes the time evolution of a plasma in the so-called collisionless regime. The investigation of a high-temperature plasma that is influenced by an ex…