FINITE-DIMENSIONAL MODEL OF THERMAL-INSTABILITY

被引：8
|
作者：
FRANKEL, ML [1 ]
ROYTBURD, V [1 ]
机构：
[1] RENSSELAER POLYTECH INST,DEPT MATH SCI,TROY,NY 12180
来源：
APPLIED MATHEMATICS LETTERS | 1995年 / 8卷 / 02期
基金：
美国国家科学基金会;
关键词：
FREE BOUNDARY PROBLEMS; PSEUDOSPECTRAL APPROXIMATION;
D O I：
10.1016/0893-9659(95)00008-E
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the collocation method, we derive a finite-dimensional (3-D) dynamical system whose dynamics mimic behavior of a free boundary problem for the heat equation that describes solid combustion and some phase transitions and has been shown to develop complex dynamical patterns. Numerical simulations on the 3-D system demonstrate a variety of dynamical scenarios depending on boundary kinetic functions inherited from the original problem. The multitude of nontrivial dynamical features as well as a clear physical origin of the system make it interesting in its own right.
引用
收藏
页码：39 / 44
页数：6
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