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浙江大学学报(理学版)  2021, Vol. 48 Issue (1): 57-63    DOI: 10.3785/j.issn.1008-9497.2021.01.008
数学与计算机科学     
有界区域内相互作用的Forchheimer-Darcy流体方程组解的结构稳定性
石金诚, 李远飞
广州华商学院 数据科学学院,广东 广州 511300
Structural stability of the Forchheimer-Darcy fluid in a bounded domain
SHI Jincheng, LI Yuanfei
School of Data Science, Huashang College Guangzhou, Guangzhou 511300, China
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摘要: 研究了在R3中有界区域内相互作用的Forchheimer-Darcy流体方程组解的结构稳定性。假设黏性流体在Ω1中满足Forchheimer方程组,在Ω2中满足Darcy方程组,借助于一些先验估计,构造了微分不等式,证明了对Forchheimer系数b,Forchheimer-Darcy方程组的解是收敛的。
关键词: 结构稳定性界面边界条件Darcy方程组Forchheimer方程组    
Abstract: The structural stability for the solution of the Forchheimer fluid equations interfacing with a Darcy fluid equations in a bounded region in?R3?is studied. Assumed that the viscous fluid be governed by the Forchheimer equations in Ω1,while in Ω2?,the fluid satisfy the Darcy equations.With the aid of some priori bounds,we formulate a differential inequality and demonstrate the convergence result for the Forchheimer coefficient b.
Key words: Darcy equations    interface boundary condition    structural stability    Forchheimer equations
收稿日期: 2019-12-08 出版日期: 2021-01-20
CLC:  O 175.29  
基金资助: 国家自然科学基金资助项目(11371175); 广东财经大学华商学院校内导师制项目(2020HSDS16).
通讯作者: ORCID:http//orcid.org/0000-0002-9314-4104,E-mail:liqfd@163.com.     E-mail: liqfd@163.com
作者简介: 石金诚(1983—),ORCID:http//orcid.org/0000-0002-4016-1197,男,硕士,讲师,主要从事偏微分方程研究,E-mail:hning0818@163.co;
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石金诚, 李远飞. 有界区域内相互作用的Forchheimer-Darcy流体方程组解的结构稳定性[J]. 浙江大学学报(理学版), 2021, 48(1): 57-63.

SHI Jincheng, LI Yuanfei. Structural stability of the Forchheimer-Darcy fluid in a bounded domain. Journal of Zhejiang University (Science Edition), 2021, 48(1): 57-63.

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https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2021.01.008        https://www.zjujournals.com/sci/CN/Y2021/V48/I1/57

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