19 citations · 29 across the 17 of their papers we have counts for
19 papers
Existence and Regularity of Stable Resonant Spectral Submanifolds and Linearization Maps
Florian Kogelbauer, Rafael de la Llave
We prove the existence of -regular stable invariant manifolds and linear conjugacies for analytic maps near a hyperbolic fixed point in the presence of resonances. The re…
Non-Hydrodynamic Solutions to the linear Density-dependent BGK equation
Florian Kogelbauer
We prove the existence of non-hydrodynamic solutions to the linear density-dependent BGK equation in dimensions. Specifically, we show the existence of an initial condition for…
Objective detection of coherent vortices from instantaneous flow data
Tiemo Pedergnana, Florian Kogelbauer
Vortices are swirling regions of fluid that structure motion in gases and liquids across a wide range of scales, from laboratory-scale experiments to vast atmospheric currents. The…
A Note on Non-Hydrodynamic Solutions of Kinetic Systems
Florian Kogelbauer, Ilya Karlin
We show that the one-dimensional three-component Grad system admits solutions that violate the Chapman--Enskog scaling in Knudsen number. In particular, there exist solutions that…
Relativistic electrodynamics with a universal length scale
Tiemo Pedergnana, Florian Kogelbauer
We derive the analogues of the Dirac and Pauli equations from a spatially fourth-order Klein--Gordon equation with a universal length scale. Starting from a singularly perturbed va…
An Objective Measure of Unsteadiness
Florian Kogelbauer, Tiemo Pedergnana
Unsteadiness lies at the heart of turbulent fluid dynamics, eddy formation and instabilities in flows thus making it central to both understanding and controlling fluid systems. In…