Loss of convexity for a modified Mullins-Sekerka model arising in diblock copolymer melts

被引：3
|
作者：
Escher, J [1 ]
Mayer, UF [1 ]
机构：
[1] Univ Hannover, Fachbereich Math, D-30167 Hannover, Germany
来源：
ARCHIV DER MATHEMATIK | 2001年 / 77卷 / 05期
关键词：
D O I：
10.1007/PL00000515
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 micro-phase 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.
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收藏
页码：434 / 448
页数：15
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