### Ghost effect by curvature

Marra, R *(Studi di Roma Tor Vergata)*

Tuesday 16 November 2010, 14:00-14:45

Seminar Room 1, Newton Institute

#### Abstract

We consider the Boltzmann equation for a gas between two rotating coaxial cylinders, and we study the behaviour of the gas in the limit in which the Knudsen number k and the inverse of radius (the curvature) of the inner cylinder tend to zero simultaneously, keeping the difference of the radii of the two cylinders fixed. The Mach number goes to zero as k_a, a <1. The limiting behaviour is described by a modification of the equations for the plane Couette flow. There is a bifurcation phenomenon from a linear profile of the velocity field due to the new terns in the equations.

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