Spatial decay estimates for the Fochheimer equations interfacing with a Darcy equations

Ze Wang; Yan Zhang; Jincheng Shi; Baiping Ouyang; Ze Wang; Yan Zhang; Jincheng Shi; Baiping Ouyang

doi:10.3934/math.2021728

AIMS Mathematics

2021, Volume 6, Issue 11: 12632-12649. doi: 10.3934/math.2021728

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Research article

Spatial decay estimates for the Fochheimer equations interfacing with a Darcy equations

1.
Department of Computer Science, Guangdong University of Finance, Yingfu Road, Guangzhou 510521, China
2.
Department of Public Infrastructure, Guangdong Teachers College of Foreign Language and Arts, Longdong East Road, Guangzhou 510521, China
3.
Department of Applied Mathematics, Guangzhou Huashang College, Huashang Road, Guangzhou 511300, China

Received: 02 August 2021 Accepted: 27 August 2021 Published: 02 September 2021
MSC : 35B30, 35K55, 35Q35

Spatial decay estimates for the Fochheimer fluid interfacing with a Darcy flow in a semi-infinite pipe was studied. The exponential decay result can be obtained by integrating a first-order differential inequality. The result can be seen as the usage of Saint-Venant's principle for the interfacing fluids.
- Saint-Venant's principle,
- decay estimates,
- Forchheimer fluid,
- Darcy fluid
Citation: Ze Wang, Yan Zhang, Jincheng Shi, Baiping Ouyang. Spatial decay estimates for the Fochheimer equations interfacing with a Darcy equations[J]. AIMS Mathematics, 2021, 6(11): 12632-12649. doi: 10.3934/math.2021728

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Abstract

Spatial decay estimates for the Fochheimer fluid interfacing with a Darcy flow in a semi-infinite pipe was studied. The exponential decay result can be obtained by integrating a first-order differential inequality. The result can be seen as the usage of Saint-Venant's principle for the interfacing fluids.

References

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