The Cahn-Hilliard equation: phase separation and interfaces
I will briefly introduce the Cahn-Hilliard equation and derive some well known results for the properties of the interface between two coexisting phases. I will then discuss some coarsening process in the phase separation. Finally, if there is any time left, I will try to discuss the case of a biphasic fluid, and its different coarsening scaling regimes.
If time and media supports allow, there will be some videos of some numerical simulations showing some coarsening process/some interfaces.
 A. J. Bray, "Theory of phase-ordering kinetics", Adv. Phys. 43, 357 (1994)
 D. Jacqmin, "Calculation of Two-Phase Navier-Stokes Flows Using Phase-Field Modeling", Journal of Computational Physics 155:96 (1999)
 J. S. Rowlinson, B. Widom, "Molecular Theory of Capillarity", Dover Ed. edition (2003)
This is a roughly weekly series of didactical blackboard talks focussing on some theoretical aspect of Condensed Matter, Biological, and Statistical Physics..