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On a Taylor-Couette Type Bifurcation for the Stationary Nonlinear Boltzmann Equation

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Abstract

This paper studies the stationary nonlinear Boltzmann equation for hard forces, in a Taylor-Couette setting between two coaxial, rotating cylinders with given indata of Maxwellian type on the cylinders. A priori L q-estimates are obtained, and used to prove a Taylor type bifurcation with isolated solutions and a hydrodynamic limit control, based on asymptotic expansions together with a rest term correction. The positivity of such solutions is also considered.

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Authors and Affiliations

  1. Department of Mathematics, Chalmers Institute of Technology, Gothenburg, Sweden

    L. Arkeryd

  2. CMI, Université d'Aix-Marseille I, Marseille, France

    A. Nouri

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  1. L. Arkeryd
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  2. A. Nouri
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Correspondence to L. Arkeryd.

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Arkeryd, L., Nouri, A. On a Taylor-Couette Type Bifurcation for the Stationary Nonlinear Boltzmann Equation. J Stat Phys 124, 401–443 (2006). https://doi.org/10.1007/s10955-005-8008-8

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  • DOI: https://doi.org/10.1007/s10955-005-8008-8

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