A Cahn-Hilliard functional with long-range interactions: (i) steady states and the phase diagram, <br/><br/>(ii) small volume fraction asymptotics and gradient flow dynamics

Wednesday, March 25, 2009 - 4:30pm - 5:15pm
EE/CS 3-180
Rustum Choksi (Simon Fraser University)
We consider a Cahn-Hilliard functional with long-range interactions. This functional was introduced as a qualitative
way of modeling self-assembly of diblock copolymers. We will consider the phase diagram from the point of view of numerical simulations. We will also describe analytical work, via Gamma convergence, on the asymptotics of the energy in the small volume fraction limit.
Our results will be compared with a formal study on the H-1 gradient-flow of the functional, demonstrating separate regimes for coarsening and self-assembly (pattern formation).

This talk will encompass recent work with M. Peletier (Eindhoven), J.F. Williams (SFU), M. Maras (SFU), and with K. Glasner (Arizona).

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