Structural stability for Forchheimer fluid in a semi-infinite pipe

Zhiqing Li; Wenbin Zhang; Yuanfei Li; Zhiqing Li; Wenbin Zhang; Yuanfei Li

doi:10.3934/era.2023074

Electronic Research Archive

2023, Volume 31, Issue 3: 1466-1484. doi: 10.3934/era.2023074

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Structural stability for Forchheimer fluid in a semi-infinite pipe

School of Data Science, Guangzhou Huashang College, Guangdong 511300, China

Received: 18 November 2022 Revised: 20 December 2022 Accepted: 03 January 2023 Published: 11 January 2023

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.
- Forchheimer flow,
- structural stability,
- energy estimate
Citation: Zhiqing Li, Wenbin Zhang, Yuanfei Li. Structural stability for Forchheimer fluid in a semi-infinite pipe[J]. Electronic Research Archive, 2023, 31(3): 1466-1484. doi: 10.3934/era.2023074

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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.

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