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… Click to show full abstract
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 ChapmanāEnskog expansion for small relaxation times. Our results rely on the spectral theory of Jacobi operators with rank-one perturbations.
               
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