Ghost effect by curvature in planar Couette flow
Journal article, 2011
We study a rarefied gas, described by the Boltzmann equation, between two coaxial rotating cylinders in the small Knudsen number regime. When the radius of the inner cylinder is suitably sent to infinity, the limiting evolution is expected to converge to a modified Couette flow which keeps memory of the cylinder (ghost effect).
Boltzmann equation
Hydrodynamic limit
Ghost effect
Couette flow
Author
Leif Arkeryd
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
R. Esposito
Universita degli Studi dell'Aquila
R. Marra
Universita degli Studi di Roma Tor Vergata
A. Nouri
Université dáix-Marseille I
Kinetic and Related Models
1937-5093 (ISSN) 1937-5077 (eISSN)
Vol. 4 1 109-138Subject Categories (SSIF 2011)
Computational Mathematics
Mathematical Analysis
Roots
Basic sciences
DOI
10.3934/krm.2011.4.109