Nonlinear Dynamics of Frontal Polymerization with Autoacceleration

被引：0
|
作者：
D. M. G. Comissiong
L. K. Gross
V. A. Volpert
机构：
[1] Northwestern University,Department of Engineering Sciences and Applied Mathematics
[2] The University of Akron,Department of Theoretical and Applied Mathematics
来源：
Journal of Engineering Mathematics | 2005年 / 53卷
关键词：
frontal polymerization; Landau equations; nonlinear stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A free-boundary model is used to describe frontal polymerization. Autoacceleration effects, such as the gel effect, are accounted for in the formulation. Weakly nonlinear analysis is applied to investigate pulsating instabilities in two dimensions. The analysis produces a pair of Landau equations that describe the evolution of the linearly unstable modes. Autoacceleration influences the linear stability of the system as well as the onset and stability of spinning and standing modes.
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页码：59 / 78
页数：19
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