On the Strong Solutions and the Structural Stability of the g-Benard Problem

被引:2
|
作者
Ozluk, Muharrem [1 ,2 ]
Kaya, Meryem [2 ]
机构
[1] Batman Univ, Dept Math, TR-72060 Batman, Turkey
[2] Gazi Univ, Dept Math, Ankara, Turkey
关键词
Benard problem; strong solutions; structural stability; NAVIER-STOKES EQUATIONS; THIN DOMAINS; INCOMPRESSIBLE FLUIDS; BOUNDARY; EXISTENCE;
D O I
10.1080/01630563.2017.1350975
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study a type of modified Boussinesq equations which is called g-Benard problem. We show the existence and uniqueness of strong solutions of the problem in two dimensions, and then, we investigate the continuous dependence of the solutions on the viscosity parameter.
引用
收藏
页码:383 / 397
页数:15
相关论文
共 50 条
  • [21] Stability for Rayleigh–Benard Convective Solutions of the Boltzmann Equation
    L. Arkeryd
    R. Esposito
    R. Marra
    A. Nouri
    Archive for Rational Mechanics and Analysis, 2010, 198 : 125 - 187
  • [22] ON THE NONLINEAR STABILITY OF THE THERMODIFFUSIVE EQUILIBRIUM FOR THE MAGNETIC BENARD PROBLEM
    Labianca, Arcangelo
    Palese, Lidia
    ATTI ACCADEMIA PELORITANA DEI PERICOLANTI-CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI, 2019, 97
  • [23] STABILITY OF THE LAMINAR SOLUTION OF THE BOLTZMANN EQUATION FOR THE BENARD PROBLEM
    Arkeryd, L.
    Esposito, R.
    Marra, R.
    Nouri, A.
    BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2008, 3 (01): : 51 - 97
  • [24] ON THE NONLINEAR STABILITY OF THE MAGNETIC BENARD-PROBLEM WITH ROTATION
    MULONE, G
    RIONERO, S
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1993, 73 (01): : 35 - 45
  • [25] Structural stability of solutions to the Riemann problem for a scalar conservation law
    Shen, Chun
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 389 (02) : 1105 - 1116
  • [26] Strong solutions to the identification problem
    Caballero-Gil, P
    Hernández-Goya, C
    COMPUTING AND COMBINATORICS, 2001, 2108 : 257 - 261
  • [27] Existence and stability of solutions for generalized strong vector quasi-equilibrium problem
    Long, Xian-jun
    Huang, Nan-jing
    Teo, Kok-lay
    MATHEMATICAL AND COMPUTER MODELLING, 2008, 47 (3-4) : 445 - 451
  • [28] OBSERVATIONS OF STABILITY IN BENARD PROBLEM WITH OSCILLATING BOUNDARY-CONDITION
    BURG, K
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1974, 54 (04): : T113 - T113
  • [29] Nonlinear stability of the rotating Benard problem, the case Pr=1
    Kaiser, Ralf
    Xu, L. X.
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1998, 5 (03): : 283 - 307
  • [30] Necessary and sufficient conditions for nonlinear stability in the magnetic Benard problem
    Mulone, G
    Rionero, S
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2003, 166 (03) : 197 - 218