On an iterative method with boundary condition splitting as applied to the Dirichlet initial-boundary value problem for the stokes system

2010 ◽  
Vol 81 (3) ◽  
pp. 452-457 ◽  
Author(s):  
B. V. Pal’tsev
Keyword(s):  
Boundary Condition ◽  
Iterative Method ◽  
Boundary Value Problem ◽  
Stokes System ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Initial Boundary Value

Initial boundary value problem for 2D Boussinesq equations with temperature-dependent diffusion

2015 ◽  
Vol 12 (03) ◽  
pp. 469-488 ◽  
Author(s):  
Huapeng Li ◽  
Ronghua Pan ◽  
Weizhe Zhang
Keyword(s):  
Boundary Condition ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Boussinesq Equations ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Slip Boundary Condition ◽  
Heat Diffusion ◽  
2D Boussinesq Equations ◽  
Initial Boundary Value

We consider the initial-boundary value problem (IBVP) of 2D inviscid heat conductive Boussinesq equations with nonlinear heat diffusion over a bounded domain with smooth boundary. Under slip boundary condition of velocity and the homogeneous Dirichlet boundary condition for temperature, we show that there exists a unique global smooth solution to the IBVP for H3initial data. Moreover, we show that the temperature converges exponentially to zero as time goes to infinity, and the velocity and vorticity are uniformly bounded in time.

Sign in / Sign up

Export Citation Format

Share Document