Spatial decay bounds for double diffusive convection in Brinkman flow

被引：10
|
作者：
Payne, L. E. [2 ]
Song, J. C. [1 ]
机构：
[1] Hanyang Univ, Dept Appl Math, Ansan 426791, South Korea
[2] Cornell Univ, Dept Math, Ithaca, NY 14853 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年 / 244卷 / 02期
关键词：
spatial decay bounds; differential inequalities; double diffusion; Brinkman flow;
D O I：
10.1016/j.jde.2007.10.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper examines the time-dependent double diffusive convection in Brinkman flow in a semi-infinite cylinder. Under appropriate initial and boundary conditions the authors establish exponential decay of solutions in "energy" norm with distance from the finite end of the cylinder. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：413 / 430
页数：18
相关论文
共 50 条
  • [1] Spatial Decay Bounds for the Brinkman Fluid Equations in Double-Diffusive Convection
    Chen, Xuejiao
    Li, Yuanfei
    Li, Dandan
    [J]. SYMMETRY-BASEL, 2022, 14 (01):
  • [2] Spatial decay for a model of double diffusive convection in Darcy and Brinkman flows
    Payne, LE
    Song, JC
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2000, 51 (06): : 867 - 889
  • [3] Spatial decay for a model of double diffusive convection in Darcy and Brinkman flows
    L. E. Payne
    J. C. Song
    [J]. Zeitschrift für angewandte Mathematik und Physik ZAMP, 2000, 51 : 867 - 889
  • [4] Structural stability for the Brinkman equations of flow in double diffusive convection
    Lin, Changhao
    Payne, L. E.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (02) : 1479 - 1490
  • [5] CONTINUOUS DEPENDENCE FOR THE BRINKMAN EQUATIONS OF FLOW IN DOUBLE-DIFFUSIVE CONVECTION
    Tu, Hongliang
    Lin, Changhao
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
  • [6] Bounds on double-diffusive convection
    Balmforth, Neil J.
    Ghadge, Shilpa A.
    Kettapun, Atichart
    Mandre, Shreyas D.
    [J]. JOURNAL OF FLUID MECHANICS, 2006, 569 : 29 - 50
  • [7] ONSET OF DOUBLE-DIFFUSIVE CONVECTION IN A HORIZONTAL BRINKMAN CAVITY
    Alloui, Z.
    Vasseur, P.
    Robillard, L.
    Bahloul, A.
    [J]. CHEMICAL ENGINEERING COMMUNICATIONS, 2010, 197 (03) : 387 - 399
  • [8] Stability analysis of double diffusive convection in a vertical brinkman porous enclosure
    Mamou, M
    Hasnaoui, M
    Amahmid, A
    Vasseur, P
    [J]. INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 1998, 25 (04) : 491 - 500
  • [9] Double-diffusive convection in porous media: The Darcy and Brinkman models
    Lombardo, S
    Mulone, G
    [J]. WASCOM 2001: 11TH CONFERENCE ON WAVES AND STABILITY IN CONTINUOUS MEDIA, PROEEDINGS, 2002, : 277 - 289
  • [10] Continuous dependence for double diffusive convection in a Brinkman model with variable viscosity
    Meften, Ghazi Abed
    Ali, Ali Hasan
    [J]. ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2022, 14 (01) : 125 - 146
12345