4 papers
Fundamental Gaps for the Dirichlet \(p\)-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy
Rui Chen, Daniel Hauer
We study fundamental gaps for the Dirichlet \(p\)-Laplacian on bounded convex domains with convex potentials. We prove log-concavity of the positive first eigenfunction by a regula…
Towards hybrid kinetic/drift-kinetic simulations in 6d Vlasov codes
M. Pelkner, K. Hallatschek, M. Raeth
Simulating fully kinetic, two-species plasmas is computationally challenging due to the stiff multiscale dynamics of electrons and ions. While enforcing a quasi-neutral time evolut…
A New Approach to Compute Linear Landau Damping
M. Pelkner, K. Hallatschek, M. Raeth
We present a semi-analytical method for calculating exact time-domain solutions to linear Landau-damping problems. Unlike traditional residue-based approaches, our framework avoids…
Energy balance for 6D kinetic ions with adiabatic electrons
Mario Raeth, Klaus Hallatschek
This paper investigates the energy fluxes for the 6D kinetic Vlasov system. We introduce a novel method for calculating particle and energy flows within this framework which allows…