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

被引：1

作者：

Wang, Ze ^{[1
]}

Zhang, Yan ^{[2
]}

Shi, Jincheng ^{[3
]}

Ouyang, Baiping ^{[3
]}

机构：

[1] Guangdong Univ Finance, Dept Comp Sci, Yingfu Rd, Guangzhou 510521, Peoples R China

[2] Guangdong Teachers Coll Foreign Language & Arts, Dept Publ Infrastruct, Longdong East Rd, Guangzhou 510521, Peoples R China

[3] Guangzhou Huashang Coll, Dept Appl Math, Huashang Rd, Guangzhou 511300, Peoples R China

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Saint-Venant's principle; decay estimates; Forchheimer fluid; Darcy fluid; DOUBLE-DIFFUSIVE CONVECTION; CONTINUOUS DEPENDENCE; POROUS-MEDIUM; STRUCTURAL STABILITY; VISCOUS-FLUID; BRINKMAN; FLOW; CONVERGENCE; TEMPERATURE; SIMULATION;

D O I：

10.3934/math.2021728

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：12632 / 12649

页数：18

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