WELL-POSEDNESS OF THE INFINITE PRANDTL NUMBER MODEL FOR CONVECTION WITH TEMPERATURE-DEPENDENT VISCOSITY

被引：11

作者：

Gunzburger, Max ^{[1
]}

Saka, Yuki

Wang, Xiaoming

机构：

[1] Florida State Univ, Dept Math, Tallahassee, FL 32306 USA

来源：

ANALYSIS AND APPLICATIONS | 2009年 / 7卷 / 03期

基金：

美国国家科学基金会;

关键词：

Infinite Prandtl number model for convection; temperature-dependent viscosity; well-posedness; RAYLEIGH-BENARD CONVECTION; BOUNDS;

D O I：

10.1142/S0219530509001414

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the well-posedness of the infinite Prandtl number model for convection with temperature-dependent viscosity, free-slip boundary condition and zero horizontal fluxes.

引用

页码：297 / 308

页数：12

共 10 条

[1] [Anonymous], THESIS FLORIDA STATE
[2] [Anonymous], 1977, STUDIES MATH ITS APP
[3] A uniformly dissipative scheme for stationary statistical properties of the infinite Prandtl number model
Cheng, Wenfang
Wang, Xiaoming
[J]. APPLIED MATHEMATICS LETTERS, 2008, 21 (12) : 1281 - 1285
[4] Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh-Benard convection
Doering, Charles R.
Otto, Felix
Reznikoff, Maria G.
[J]. JOURNAL OF FLUID MECHANICS, 2006, 560 : 229 - 241
[5] On upper bounds for infinite Prandtl number convection with or without rotation
Doering, CR
Constantin, P
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2001, 42 (02) : 784 - 795
[6] Lions J.-L., 1968, QUELQUES METHODES RE
[7] The initial value problem for a generalized Boussinesq model
Lorca, SA
Boldrini, JL
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 36 (04) : 457 - 480
[8] Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients
Tabata, M
Tagami, D
[J]. NUMERISCHE MATHEMATIK, 2005, 100 (02) : 351 - 372
[9] Turcotte D.L., 1982, Geodynamics: Application of Continuum Physics to Geological Problems
[10] Infinite Prandtl number limit of Rayleigh-Benard convection
Wang, XM
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2004, 57 (10) : 1265 - 1282

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