Title:

Numerical Schemes for Complex Fluids

Abstract:

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

dissipation.

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

schemes.