Noel Walkington

Numerical Schemes for Complex Fluids

Models of complex fluids typically couple the momentum equation to an
equation governing the evolution of the microstructure.  Examples
include liquid crystals, fluids containing elastic particles, and
polymer fluids.  These systems posses a Hamiltonian structure which
reveals the subtle structure of the terms coupling of the two
equations, and a delicate balance between inertia, transport, and

This talk will focus on the development and analysis of numerical
schemes which inherit the Hamiltonian structure, and hence stability,
of the continuous problem.  Compactness properties of the discrete
solutions will then be presented to establish convergence of these