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

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

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

Author(s) -

Ze Wang,

Yan Zhang,

Jincheng Shi,

Baiping Ouyang

Publication year - 2021

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 15

ISSN - 2473-6988

DOI - 10.3934/math.2021728

Subject(s) - interfacing , darcy's law , exponential function , exponential decay , mathematics , flow (mathematics) , mathematical analysis , mechanics , physics , computer science , porous medium , engineering , porosity , geotechnical engineering , quantum mechanics , computer hardware

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.

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