Ploechl; Mayer,B., Chemische Berichte, 1897, vol. 30, p. 1601,1607
作者:Ploechl、Mayer,B.
DOI:——
日期:——
Loss of convexity for a modified Mullins–Sekerka model arising in diblock copolymer melts
作者:J. Escher、U. F. Mayer
DOI:10.1007/pl00000515
日期:2001.11
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.
Michael, Chemische Berichte, 1901, vol. 34, p. 3648