15th Canberra International Physics Summer School
Dynamic Summer
January 21 to February 1 2002, ANU, Canberra, Australia
Topics in Nonlinear Dynamics, Collective Phenomena and Complexity
An external activity of the Asia-Pacific Center for Theoretical Physics
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Prof. A. J. Roberts
Dept. Mathematics & Computing
University of Southern Queensland
Toowoomba, Queensland 4350, Australia
e-mail: aroberts@usq.edu.au.

Low-dimensional modelling of dynamical systems as applied
to dissipative fluid mechanics.


1. A physical overview of some mathematical models of dissipative (fluid)
dynamics
2. Centre manifold theory and computer algebra underpins modelling.
3. Long wave models of shear dispersion and lubrication flows
4. Avoid cross-sectional averaging: inertia in thin fluids
5. Holistic discretisation of dynamical differential equations.