5 citations · 6 across the 2 of their papers we have counts for
2 papers
physics.flu-dyn2024★ 1 cited
Singularity formation of vortex sheets in 2D Euler equations using the characteristic mapping method
Julius Bergmann, Thibault Maurel-Oujia, Xi-Yuan +3
The goal of this numerical study is to get insight into singular solutions of the two-dimensional (2D) Euler equations for non-smooth initial data, in particular for vortex sheets.…
math.NA2023★ 5 cited
A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties
Philipp Krah, Xi-Yuan Yin, Julius Bergmann +2
We propose an efficient semi-Lagrangian characteristic mapping method for solving the one+one-dimensional Vlasov-Poisson equations with high precision on a coarse grid. The flow ma…