Global regularity for the initial–boundary value problem of the 2-D Boussinesq system with variable viscosity and thermal diffusivity

We prove the global existence of strong solution to the initial–boundary value problem of the 2-D Boussinesq system and 3-D infinite Prandtl number model with viscosity and thermal conductivity depending on the temperature.

Saved in:
Bibliographic Details
Published inJournal of Differential Equations Vol. 255; no. 6; pp. 1069 - 1085
Main Authors Sun, Yongzhong, Zhang, Zhifei
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.09.2013
Subjects
Boussinesq system
Global regularity
Initial–boundary value problem
Boussinesq system
Initial–boundary value problem
Global regularity
35Q30
35D10
Online AccessGet full text
ISSN0022-0396
1090-2732
DOI10.1016/j.jde.2013.04.032

Cover

More Information
Summary:We prove the global existence of strong solution to the initial–boundary value problem of the 2-D Boussinesq system and 3-D infinite Prandtl number model with viscosity and thermal conductivity depending on the temperature.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2013.04.032