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Non-local Hydrodynamics as a slow manifold for the one-dimensional kinetic equation

We prove an explicit, non-local hydrodynamic closure for the linear one-dimensional kinetic equation independent on the size of the relaxation time. We compare this dynamical equation to the local approximations obtained from the Chapman--Enskog expansion for small relaxation times. Our results rely on the spectral theory of Jacobi operators with rank-one perturbations.

preprint2020arXivOpen access
Florian Kogelbauer
math-phmath.MPphysics.flu-dyn
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Florian Kogelbauer

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