Structural stability for the Darcy model in double diffusive convection flow with Magnetic field effect

被引：1
|
作者：
Guo, Zhanwei [1 ]
Shi, Jincheng [2 ]
机构：
[1] Guangdong Commun Polytech, Basic Teaching Dept, Guangzhou 510650, Peoples R China
[2] Guangzhou Huashang Coll, Dept Data Sci, Guangzhou 511300, Peoples R China
来源：
AIMS MATHEMATICS | 2022年 / 7卷 / 09期
基金：
中国国家自然科学基金;
关键词：
continuous dependence; a priori bounds; Darcy flow; double diffusive; CONTINUOUS DEPENDENCE; BRINKMAN EQUATIONS; HEAT-CONDUCTION; COEFFICIENTS; BOUNDARY; DECAY;
D O I：
10.3934/math.2022894
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the Darcy model with magnetic field affect which is used to describe the double diffusive flow of a fluid containing a solute. Using the energy estimate methods, we derive the prior bounds of the solutions. By using these a prior bounds, the continuous dependence of the solutions to Darcy model on the magnetic coefficient and the boundary parameter is established.
引用
收藏
页码：16366 / 16386
页数：21
相关论文
共 50 条
  • [41] Linear and nonlinear stability analyses of double-diffusive convection in a porous layer due to magnetic field and throughflow effects
    Barman, Pankaj
    Srinivasachrya, D.
    Barman, Dipak
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2023, 138 (03):
  • [42] Linear and nonlinear stability of double diffusive convection in a micropolar fluid saturated porous layer with magnetic field and throughflow effects
    Barman, Pankaj
    Srinivasacharya, D.
    [J]. Physics of Fluids, 2024, 36 (10)
  • [43] The Nonlinear Stability Analysis of Double-Diffusive Convection with Viscous Dissipation Effect
    N. Deepika
    P. A. L. Narayana
    A. A. Hill
    [J]. Transport in Porous Media, 2023, 150 : 215 - 227
  • [44] LINEAR STABILITY ANALYSIS OF DOUBLE-DIFFUSIVE CONVECTION IN MAGNETIC NANOFLUIDS IN POROUS MEDIA
    Sharma, M. K.
    Singh, R.
    [J]. JOURNAL OF POROUS MEDIA, 2014, 17 (10) : 883 - 900
  • [45] Optimization of the effect of Prandtl number, inclination angle, magnetic field, and Richardson number on double-diffusive mixed convection flow in a rectangular domain
    Moolya, Shivananda
    Anbalgan, Satheesh
    [J]. INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2021, 126
  • [46] The Effect of Rotation on Double Diffusive Convection: Perspectives from Linear Stability Analysis
    Liang, Yu
    Carpenter, Jeffrey R.
    Timmermans, Mary-Louise
    [J]. JOURNAL OF PHYSICAL OCEANOGRAPHY, 2021, 51 (11) : 3335 - 3346
  • [47] The Nonlinear Stability Analysis of Double-Diffusive Convection with Viscous Dissipation Effect
    Deepika, N.
    Narayana, P. A. L.
    Hill, A. A.
    [J]. TRANSPORT IN POROUS MEDIA, 2023, 150 (1) : 215 - 227
  • [48] Magnetic Field Effect on the Double Diffusive Natural Convection in Three-Dimensional Cavity Filled with Micropolar Nanofluid
    Abidi, Awatef
    Raizah, Zehba
    Madiouli, Jamel
    [J]. APPLIED SCIENCES-BASEL, 2018, 8 (12):
  • [49] DOUBLE DIFFUSIVE NATURAL CONVECTION IN BINARY MIXTURE UNDER THE EFFECT OF EXTERNAL MAGNETIC FIELD: STEADY AND OSCILLATORY STATE
    Ghernaout, Badia
    Bouabdallah, Said
    Teggar, Mohamed
    Benniche, Hamza
    [J]. INTERNATIONAL JOURNAL OF HEAT AND TECHNOLOGY, 2015, 33 (04) : 11 - 18
  • [50] On the stability of double diffusive convection in a porous layer with throughflow
    Shivakumara, IS
    Khalili, A
    [J]. ACTA MECHANICA, 2001, 152 (1-4) : 165 - 175
12345