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浙江大学学报（理学版）
浙江大学学报（理学版）  2021, Vol. 48 Issue (4): 427-434    DOI: 10.3785/j.issn.1008-9497.2021.04.005
数学与计算机科学     
半无限柱形区域中相互作用的Fochheimer流与Darcy流的空间衰减估计
欧阳柏平, 李远飞
广州华商学院 数据科学学院，广东 广州 511300
Spatial decay estimates for a Fochheimer fluid interfacing a Darcy fluid in a semi-infinite pipe
OUYANG Baiping, LI Yuanfei
College of Data Science, Guangzhou Huashang College, Guangzhou 511300, China
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摘要： 研究了在R3的半无限柱形区域中相互作用的Fochheimer流与Darcy流的解的空间性质。假设流体在Ω1中满足Forchheimer方程组，在Ω2中满足Darcy方程组，应用一阶微分不等式方法，得到解的空间衰减估计结果，并将其看作Saint-Venant原理在相互作用的流体中的应用。
关键词： Darcy流;  空间衰减估计;  Saint-Venant原理;  Fochheimer流    
Abstract: Spatial properties for the solutions of the Fochheimer fluid interfacing a Darcy fluid in a semi-infinite pipe in R3 are studied. Assuming that the flow in Ω1 satisfy Forchheimer equations and in Ω2 satisfy Darcy equations. Using the method of first-order differential inequality,spatial decay estimates are obtained,which can be seen as an application of Saint-Venant's principle in the interacting fluids.
Key words: spatial decay estimates    Forchheimer fluid    Darcy fluid    Saint-Venant's principle
收稿日期: 2020-06-15 出版日期: 2021-07-25
CLC:  O 175.21  
基金资助: 国家自然科学基金资助项目（61907010）；广东省教育厅重点项目（2018KZDXM048）；广东财经大学华商学院校内项目（2019HSDS26）；广东省普通高校创新团队项目（2020WCXTD008）.
通讯作者: ORCID：https：//orcid.org/0000-0002-9314-4104，E-mail：liqfd@163.com.     E-mail: liqfd@163.com
作者简介: 欧阳柏平（1979—），ORCID：https：//orcid.org/0000-0001-6464-1489，男，硕士，讲师，主要从事偏微分方程研究，E-mail：oytengfei79@tom.co；
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引用本文:

欧阳柏平, 李远飞. 半无限柱形区域中相互作用的Fochheimer流与Darcy流的空间衰减估计[J]. 浙江大学学报（理学版）, 2021, 48(4): 427-434.

OUYANG Baiping, LI Yuanfei. Spatial decay estimates for a Fochheimer fluid interfacing a Darcy fluid in a semi-infinite pipe. Journal of Zhejiang University (Science Edition), 2021, 48(4): 427-434.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2021.04.005    或    https://www.zjujournals.com/sci/CN/Y2021/V48/I4/427

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