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math.AP2026
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…
math.AP2025
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…
math.AP2023★ 1 cited
Spectral Closure for the Linear Boltzmann-BGK Equation
Florian Kogelbauer, Ilya Karlin
We give an explicit description of the spectral closure for the three-dimensional linear Boltzmann-BGK equation in terms of the macroscopic fields, density, flow velocity and tempe…