WELL-POSEDNESS OF THE INFINITE PRANDTL NUMBER MODEL FOR CONVECTION WITH TEMPERATURE-DEPENDENT VISCOSITY-Reference-Cited by-同舟云学术

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

Published:2009-07 Issue:03 Volume:07 Page:297-308
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

GUNZBURGER MAX¹,SAKA YUKI¹,WANG XIAOMING¹

Affiliation:

1. Department of Mathematics and School of Computational Sciences, Florida State University, Tallahassee, FL 32306, USA

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530509001414

Reference9 articles.

1. A uniformly dissipative scheme for stationary statistical properties of the infinite Prandtl number model

2. Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection

3. The initial value problem for a generalized Boussinesq model

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