On a phase field problem driven by interface area and interface curvature
نویسندگان
چکیده
A two component system driven by both interface area and interface curvature is studied with a new phase field model. We show that if the curvature impact in the system is strong enough, there exist bubble profiles. A bubble profile describes a pattern of an inner core of one component surround by an outer membrane of the other component. It is a radial solution to a fourth order nonlinear PDE. We show the existence of such profiles in all dimensions, although the profile is unstable if the dimension is greater than two.
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