Abstract
This paper studies the stationary nonlinear Boltzmann equation for hard forces, in a Couette setting between two coaxial, rotating cylinders with given indata of Maxwellian type on the cylinders. A priori estimates are obtained mainly in L2, leading to multiple, isolated solutions together with a hydrodynamic limit control, based on asymptotic expansions together with a rest term.
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Arkeryd, L., Nouri, A. The Stationary Nonlinear Boltzmann Equation in a Couette Setting with Multiple, Isolated Lq-solutions and Hydrodynamic Limits. J Stat Phys 118, 849–881 (2005). https://doi.org/10.1007/s10955-004-2708-3
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DOI: https://doi.org/10.1007/s10955-004-2708-3