Liu Bie Ju Centre for Mathematical Sciences
City University of Hong Kong
Mathematical Analysis and its Applications
Colloquium

Organized by Prof. Philippe G. Ciarlet and Prof. Roderick Wong

On the Kinematics of the 2+1-Dimensional Motion of a Fibre- Reinforced Fluid. An Integrable Connection

by
Prof. Colin Rogers
Department of Applied Mathematics
The Hong Kong Polytechnic University

Date: October 31, 2007 (Wednesday)
Time: 4:30 pm to 5:30 pm
Venue: Room B6605 (Faculty Conference Room)
Blue Zone, Level 6
Academic Building
City University of Hong Kong

Abstract: A set of kinematic relations that arise in the theory of the motions of fibre-reinforced fluids is shown to be linked to the integrable modified Korteweg-de Vries hierarchy. In particular, it is established that the fibres necessarily constitute generalised tractrices. It is shown how “mutatis mutandis” the results may be applied to the 2+1-dimensional Lundquist equations of magnetohydrodynamics.

** All interested are welcome **

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