Optimal starting control problem for 2D Boussinesq equations

2022 ◽  
Vol 86 (2) ◽  
Author(s):  
Evgenii Sergeevich Baranovskii
Keyword(s):  
Control Problem ◽  
Boussinesq Equations ◽  
2D Boussinesq Equations ◽  
Starting Control

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.

scholarly journals The 2D Boussinesq equations with vertical viscosity and vertical diffusivity

2010 ◽  
Vol 249 (5) ◽  
pp. 1078-1088 ◽  
Author(s):  
Dhanapati Adhikari ◽  
Chongsheng Cao ◽  
Jiahong Wu
Keyword(s):  
Boussinesq Equations ◽  
Vertical Diffusivity ◽  
2D Boussinesq Equations

Partially dissipative 2D Boussinesq equations with Navier type boundary conditions

2018 ◽  
Vol 376-377 ◽  
pp. 39-48 ◽  
Author(s):  
Weiwei Hu ◽  
Yanzhen Wang ◽  
Jiahong Wu ◽  
Bei Xiao ◽  
Jia Yuan
Keyword(s):  
Boundary Conditions ◽  
Boussinesq Equations ◽  
2D Boussinesq Equations ◽  
Type Boundary

scholarly journals Vortex Theory for Two Dimensional Boussinesq Equations

2020 ◽  
Vol 5 (2) ◽  
pp. 67-84 ◽  
Author(s):  
Morteza Sharifi ◽  
Behruz Raesi
Keyword(s):  
Boussinesq Equations ◽  
Vortex Method ◽  
Effect Of Temperature ◽  
Initial Condition ◽  
Core Size ◽  
Convergence Of Series ◽  
Vortex Theory ◽  
Center Vortex ◽  
2D Boussinesq Equations ◽  
Vortex Solutions

AbstractIn this paper, the single center vortex method (SCVM) is extended to find some vortex solutions of finite core size for dissipative 2D Boussinesq equations. Solutions are expanded in to series of Hermite eigenfunctions. After confirmation the convergence of series of the solution, we show that, by considering the effect of temperature on the evolution of the vortex for the same initial condition as in [19] the symmetry of the vortex destroyed rapidly.

Sign in / Sign up

Export Citation Format

Share Document