STABLE LOCALIZED PATTERNS IN THIN LIQUID-FILMS

被引：61
|
作者：
DEISSLER, RJ [1 ]
ORON, A [1 ]
机构：
[1] TECHNION ISRAEL INST TECHNOL,DEPT MECH ENGN,IL-32000 HAIFA,ISRAEL
来源：
PHYSICAL REVIEW LETTERS | 1992年 / 68卷 / 19期
关键词：
D O I：
10.1103/PhysRevLett.68.2948
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study a two-dimensional nonlinear evolution equation which describes the three-dimensional spatiotemporal behavior of the air-liquid interface of a thin liquid film lying on the underside of a cooled horizontal plate. We show that the equation has a Liapunov functional and exploit this fact to demonstrate that the Marangoni effect can stabilize the destabilizing effect of gravity (the Rayleigh-Taylor instability) allowing for the existence of stable localized axisymmetric solutions for a wide range of parameter values. Various properties of these structures are discussed.
引用
收藏
页码：2948 / 2951
页数：4
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