Loss of convexity for a modified Mullins-Sekerka model arising in diblock copolymer melts†
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چکیده
This modified (two-sided) Mullins-Sekerka model is a nonlocal evolution model for closed hypersurfaces, which appears as a singular limit of a modified Cahn-Hilliard equation describing microphase separation of diblock copolymer. Under this evolution the propagating interfaces maintain the enclosed volumes of the two phases. We will show by means of an example that this model does not preserve convexity in two space dimensions.
منابع مشابه
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تاریخ انتشار 2000