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Spinodal decomposition for the Cahn-Hilliard equation. (English) Zbl 0788.35132
The author studies the Cahn-Hilliard equation which is a model for the phase separation in isothermal, isotropic binary mixtures. Using geometric and measure theoretic techniques, he is able to give a rigorous proof to the conjecture that most solutions starting with initial data near an unstable homogeneous equilibrium exhibit a behaviour corresponding to spinodal decomposition.
Reviewer: J.Sprekels (Essen)

MSC:
35Q72 Other PDE from mechanics (MSC2000)
35K25 Higher-order parabolic equations
80A22 Stefan problems, phase changes, etc.
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