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physics.flu-dyn2023★ 2 cited
Rigorous Hydrodynamics from Linear Boltzmann Equations and Viscosity-Capillarity Balance
Florian Kogelbauer, Ilya Karlin
An exact closure for hydrodynamic variables is rigorously derived from the linear Boltzmann kinetic equation. Our approach, based on spectral theory, structural properties of eigen…
math-ph2023
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…