activity
20192025
most citedA numerical stability analysis for the Einstein-Vlasov system

13 citations · 51 across the 12 of their papers we have counts for

collaborators

12 papers

math.AP2025

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…

math.AP2025

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…

math.AP2024★ 1 cited

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…

math.OC2023★ 7 cited

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…

math.AP2022★ 4 cited

On the amplitude of steady water waves with positive constant vorticity

Evgeniy Lokharu, Erik Wahlén, Jörg Weber

For two-dimensional steady pure-gravity water waves with a unidirectional flow of constant favourable vorticity, we prove an explicit bound on the amplitude of the wave, which deca…

math.AP2022★ 8 cited

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…

math.AP2022★ 5 cited

Bifurcation analysis for axisymmetric capillary water waves with vorticity and swirl

André Erhardt, Erik Wahlén, Jörg Weber

We study steady axisymmetric water waves with general vorticity and swirl, subject to the influence of surface tension. This can be formulated as an elliptic free boundary problem…

math.AP2021★ 7 cited

Global bifurcation of capillary-gravity water waves with overhanging profiles and arbitrary vorticity

Erik Wahlén, Jörg Weber

We study two-dimensional periodic capillary-gravity water waves propagating at the free surface of water in a flow with arbitrary, prescribed vorticity over a flat bed. Using confo…

math-ph2021

On the two and one-half dimensional Vlasov-Poisson system with an external magnetic field: global well-posedness and stability of confined steady states

Patrik Knopf, Jörg Weber

The time evolution of a two-component collisionless plasma is modeled by the Vlasov-Poisson system. In this work, the setting is two and one-half dimensional, that is, the distribu…

gr-qc2020★ 13 cited

A numerical stability analysis for the Einstein-Vlasov system

Sebastian Günther, Jacob Körner, Timo Lebeda +4

We investigate stability issues for steady states of the spherically symmetric Einstein-Vlasov system numerically in Schwarzschild, maximal areal, and Eddington-Finkelstein coordin…

math-ph2020★ 4 cited

Confined Steady States of a Relativistic Vlasov-Maxwell Plasma in a Long Cylinder

Jörg Weber

The time evolution of a collisionless plasma is modeled by the relativistic Vlasov-Maxwell system which couples the Vlasov equation (the transport equation) with the Maxwell equati…

math-ph2019★ 2 cited

Optimal Control of a Hot Plasma

Jörg Weber

The time evolution of a collisionless plasma is modeled by the relativistic Vlasov-Maxwell system which couples the Vlasov equation (the transport equation) with the Maxwell equati…