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

Leif Arkeryd (Institutionen för matematiska vetenskaper, matematik) ; A. Nouri
Journal of Statistical Physics (0022-4715 (Print)). Vol. 124 (2006), 2-4, p. 401-443.
[Artikel, refereegranskad vetenskaplig]

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

Nyckelord: Stationary Boltzmann equation, Couette problem, Taylor-Couette bifurcation, Positive solutions, 82D05

Denna post skapades 2007-01-19. Senast ändrad 2007-06-26.
CPL Pubid: 36248


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