scholarly journals Global smooth solution to the 2D Boussinesq equations with fractional dissipation

2017 ◽  
Vol 40 (12) ◽  
pp. 4595-4612 ◽  
Author(s):  
Zhuan Ye
Keyword(s):  
Smooth Solution ◽  
Boussinesq Equations ◽  
Global Smooth Solution ◽  
2D Boussinesq Equations

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.

Global smooth solution for nonlinearly dampedp-system with large initial data

1999 ◽  
Vol 73 (3-4) ◽  
pp. 507-522 ◽  
Author(s):  
Changjiang ZHU ◽  
Huijiang Zhao ◽  
Xuewen XU
Keyword(s):  
Initial Data ◽  
Smooth Solution ◽  
Large Initial Data ◽  
Global Smooth Solution
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