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
收藏
页码：12632 / 12649
页数：18
相关论文
共 50 条
  • [41] Convergence and decay estimates for a class of second order dissipative equations involving a non-negative potential energy
    Ben Hassen, Imen
    Haraux, Alain
    JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 260 (10) : 2933 - 2963
  • [42] Asymptotic behavior and decay rate estimates for a class of semilinear evolution equations of mixed order
    Yassine, Hassan
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (06) : 2309 - 2326
  • [43] Feedback Stabilization of Convective Brinkman-Forchheimer Extended Darcy Equations
    Gautam, Sagar
    Kinra, Kush
    Mohan, Manil T.
    APPLIED MATHEMATICS AND OPTIMIZATION, 2025, 91 (01)
  • [44] FINITE ELEMENT DISCRETIZATION OF DARCY'S EQUATIONS WITH PRESSURE DEPENDENT POROSITY
    Girault, Vivette
    Murat, Francois
    Salgado, Abner
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2010, 44 (06): : 1155 - 1191
  • [45] Global existence and decay estimates for the semilinear nonclassical-diffusion equations with memory in Rn
    Berbiche, Mohamed
    Melik, Ammar
    ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 2022, 15 (02): : 29 - 53
  • [46] On sharp decay estimates of solutions for mildly degenerate dissipative wave equations of Kirchhoff type
    Ono, Kosuke
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (11) : 1339 - 1352
  • [47] On the Decay of Solutions of the Linearized Equations of Conservation Equations with Viscosity and Relaxation
    Joaquín Delgado
    Patricia Saavedra
    Qualitative Theory of Dynamical Systems, 2022, 21
  • [48] Decay of the compressible magnetohydrodynamic equations
    Wei, Ruiying
    Li, Yin
    Yao, Zheng-an
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (05): : 2499 - 2524
  • [49] On the Decay of Solutions of the Linearized Equations of Conservation Equations with Viscosity and Relaxation
    Delgado, Joaquin
    Saavedra, Patricia
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (04)
  • [50] Spatial decay and stability of traveling fronts for degenerate Fisher type equations in cylinder
    He, Junfeng
    Wu, Yaping
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 265 (10) : 5066 - 5114
12345