Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation

2016 ◽  
Vol 14 (7) ◽  
pp. 1963-1997 ◽  
Author(s):  
Jiahong Wu ◽  
Xiaojing Xu ◽  
Liutang Xue ◽  
Zhuan Ye
Keyword(s):  
Boussinesq Equations ◽  
2D Boussinesq Equations ◽  
Supercritical Dissipation ◽  
Regularity Results

scholarly journals Global regularity results for the 2D Boussinesq equations with partial dissipation

2016 ◽  
Vol 260 (2) ◽  
pp. 1893-1917 ◽  
Author(s):  
Dhanapati Adhikari ◽  
Chongsheng Cao ◽  
Haifeng Shang ◽  
Jiahong Wu ◽  
Xiaojing Xu ◽  
...  
Keyword(s):  
Global Regularity ◽  
Boussinesq Equations ◽  
Partial Dissipation ◽  
2D Boussinesq Equations ◽  
Regularity Results

Regularity criteria for the 2D Boussinesq equations with supercritical dissipation

2016 ◽  
Vol 14 (7) ◽  
pp. 1999-2022 ◽  
Author(s):  
Jingna Li ◽  
Haifeng Shang ◽  
Jiahong Wu ◽  
Xiaojing Xu ◽  
Zhuan Ye
Keyword(s):  
Boussinesq Equations ◽  
Regularity Criteria ◽  
2D Boussinesq Equations ◽  
Supercritical Dissipation

scholarly journals On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term

2019 ◽  
Vol 29 (07) ◽  
pp. 1227-1277 ◽  
Author(s):  
Ángel Castro ◽  
Diego Córdoba ◽  
Daniel Lear
Keyword(s):  
Asymptotic Stability ◽  
Boussinesq Equations ◽  
Boussinesq Approximation ◽  
Damping Term ◽  
Temperature Variations ◽  
Strip Domain ◽  
2D Boussinesq Equations

We consider the 2D Boussinesq equations with a velocity damping term in a strip domain, with impermeable walls. In this physical scenario, where the Boussinesq approximation is accurate when density or temperature variations are small, our main result is the asymptotic stability for a specific type of perturbations of a stratified solution.

Sign in / Sign up

Export Citation Format

Share Document