On Equilibria of Cahn-Hilliard Equations

                                   by

                         Stanislaus Maier-Paape

                 AEB 350, 3:15pm  Monday, April 8, 1996



  Earlier in this academic year (November 1995), David Eyre presented
  the Cahn-Hilliard Hydrodynamic Equations. These equations model a
  binary fluid that is partially miscible, i.e. the two fluids prefer to
  be separated but a transition layer is allowed at the interface of the
  fluids. David presented some of the physical concepts behind their
  derivation, the equations invariants, an associated Lyapunov
  functional, simulations and some associated analysis.

                                Abstract

  The Attractor of the Cahn-Hilliard equation is under reasonable
  assumptions build out of equilibria and their connecting orbits.
  Therefore, it is of importance to have knowledge about the whole set
  of equilibria. This talk is about how far we have come to describe
  this set analytically for domains like rectangles or squares. In
  addition some numerical results will be presented.


        Stanislaus Maier-Paape
        Universit\"at   Augsburg (Germany)
        Institut f\"ur Mathematik
        Universit\"atsstrasse 14               Phone : +49 +821/598-2154
        D-86159 Augsburg                       Fax :            598-2200


Request for preprints and reprints to Maier@Math.Uni-Augsburg.DE
This source can be found at http://www.math.utah.edu/research/