2020 Continuous Dependence on the Forchheimer Coefficient of the Forchheimer Fluid Interfacing with a Darcy Fluid
Jincheng Shi, Lianhong Guo
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Abstr. Appl. Anal. 2020: 1-8 (2020). DOI: 10.1155/2020/7971038

Abstract

The continuous dependence of the two fluids which interface with each other in a bounded domain is derived. It is first shown how to establish the a priori results for the solutions for the flow in a bounded domain occupied by a viscous fluid in contact with a porous solid. It is also proved that the solution depends continuously on the Forchheimer coefficient.

Acknowledgments

This work is supported by the Key Projects of Universities in Guangdong Province (Natural Science) (2019KZDXM042).

Citation

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Jincheng Shi. Lianhong Guo. "Continuous Dependence on the Forchheimer Coefficient of the Forchheimer Fluid Interfacing with a Darcy Fluid." Abstr. Appl. Anal. 2020 1 - 8, 2020. https://doi.org/10.1155/2020/7971038

Information

Received: 15 May 2020; Accepted: 23 July 2020; Published: 2020
First available in Project Euclid: 28 July 2020

Digital Object Identifier: 10.1155/2020/7971038

Rights: Copyright © 2020 Hindawi

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