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math-ph2025
On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series
Florian Kogelbauer, Ilya Karlin
We demonstrate that the Chapman-Enskog series is locally equivalent to the exact spectral closure defined on slow kinetic eigenmodes in the limit of vanishing Knudsen number. We fu…
math-ph2024
Exact Hydrodynamic Manifolds for the Linear Boltzmann BGK Equation I: Spectral Theory
Florian Kogelbauer, Ilya Karlin
We perform a complete spectral analysis of the linear three-dimensional Boltzmann BGK operator resulting in an explicit transcendental equation for the eigenvalues. Using the theor…