3 papers
math.AP2026
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…
physics.plasm-ph2026
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…
physics.plasm-ph2025
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…