Brinkman-Forchheimer流体与Darcy流体结构稳定性

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Brinkman-Forchheimer流体与Darcy流体结构稳定性李远飞, 郭战伟1. 广东财经大学华商学院, 广州 511300;
2. 广东交通职业技术学院, 广州 510507 Structural Stability of a Resonant Penetrative Convection in a Brinkman-Forchheimer Fluid Interfacing with a Darcy Fluid LI Yuanfei, GUO Zhanwei1. Huashang College Guangdong University of Finance & Economics, Guangzhou 511300, China;
2. Guangdong Institute of communications technology, Guangzhou 510507, China

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摘要研究了在一个有界光滑的区域上存在两种不同的流体的结构稳定性问题.假设这两种流体的控制方程分别为粘性依赖于温度的Brinkman-Forchheimer方程与Darcy方程，并且Brinkman-Forchheimer型流体的内部存在一个热源或者散热器.运用能量分析的方法和微分不等式技术，获得了方程的解对热源的连续依赖性.

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收稿日期: 2018-12-24

PACS:	35K05
	35K20
	35K55

基金资助:广东省普通高校创新团队项目（2020WCXTD008）.

引用本文:

李远飞, 郭战伟. Brinkman-Forchheimer流体与Darcy流体结构稳定性[J]. 应用数学学报, 2021, 44(2): 226-237. LI Yuanfei, GUO Zhanwei. Structural Stability of a Resonant Penetrative Convection in a Brinkman-Forchheimer Fluid Interfacing with a Darcy Fluid. Acta Mathematicae Applicatae Sinica, 2021, 44(2): 226-237.

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http://123.57.41.99/jweb_yysxxb/CN/或 http://123.57.41.99/jweb_yysxxb/CN/Y2021/V44/I2/226

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