On the Cahn{hilliard Equation with Non{constant Mobility and Its Asymptotic Limit
نویسنده
چکیده
We present an existence result for the Cahn{Hilliard equation with a concentration dependent mobility which allows the mobility to degenerate. Formal asymptotic results relate the Cahn{Hilliard equation with a degenerate mobility to motion by surface diiusion V = ? S. We state a local existence result for this geometric motion and show that circles are asymptotically stable.
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