Open AccessSpatial decay estimates for the Fochheimer equations interfacing with a Darcy equations
Author(s) -
Ze Wang,
Yan Zhang,
Jincheng Shi,
Baiping Ouyang,
Longdong East Road Arts
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 , exponential function , mathematics , darcy's law , flow (mathematics) , exponential decay , mathematical analysis , mechanics , physics , computer science , porous medium , geology , 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.