DYNAMICS OF CURVED FRONTS AND PATTERN SELECTION

被引：68

作者：

BENSIMON, D

PELCE, P

SHRAIMAN, BI

机构：

[1] AT&T Bell Lab, Murray Hill, NJ,, USA, AT&T Bell Lab, Murray Hill, NJ, USA

来源：

JOURNAL DE PHYSIQUE | 1987年 / 48卷 / 12期

关键词：

CRYSTALS; -; Growing; SURFACES; Stability;

D O I：

10.1051/jphys:0198700480120208100

中图分类号：

学科分类号：

摘要：

The stability of moving curved fronts to short wavelength perturbations is investigated using the WKB approximation. A discrete spectrum of unstable localized modes is found for a one parameter family of interfaces. An approximate selection criterion for determining the values of the parameter corresponding to the steady state is proposed. For the Saffman-Taylor problem and dendritic growth we prove the conjecture that the n-th selected state possesses n unstable tip-spliting modes.

引用

页码：2081 / 2087

页数：7

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