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Research Article | Open Access

Structural stability for Forchheimer fluid in a semi-infinite pipe

Zhiqing Li, Wenbin Zhang, Yuanfei Li( )
School of Data Science, Guangzhou Huashang College, Guangdong 511300, China
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Abstract

In this paper, it is assumed that the Forchheimer flow goes through a semi-infinite cylinder. The nonlinear boundary condition is satisfied on the finite end of the cylinder, and the homogeneous boundary condition is satisfied on the side of the cylinder. Using the method of energy estimate, the structural stability of the solution in the semi-infinite cylinder is obtained.

Keywords

Forchheimer flowstructural stabilityenergy estimate

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Electronic Research Archive
Volume 31 Issue 3,
March 2023
Pages 1466-1484
DOI: 10.3934/era.2023074

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Cite this article:
Li Z, Zhang W, Li Y. Structural stability for Forchheimer fluid in a semi-infinite pipe. Electronic Research Archive, 2023, 31(3): 1466-1484. https://doi.org/10.3934/era.2023074

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Received: 18 November 2022
Revised: 20 December 2022
Accepted: 03 January 2023
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)