A New Boundary Condition for the Three-Dimensional MHD Equation and the Vanishing Viscosity Limit.

2017 ◽  
Vol 30 (2) ◽  
pp. 165-188
Author(s):  
Wang Na
Keyword(s):  
Boundary Condition ◽  
Three Dimensional ◽  
Vanishing Viscosity ◽  
Vanishing Viscosity Limit ◽  
Viscosity Limit

scholarly journals On the Boussinesq system: local well-posedness of the strong solution and inviscid limits

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Lianhong Guo ◽  
Yuanfei Li ◽  
Chunjuan Hou
Keyword(s):  
Boundary Condition ◽  
Boussinesq Equations ◽  
Slip Boundary Condition ◽  
Boussinesq System ◽  
Well Posedness ◽  
Vanishing Viscosity ◽  
Vanishing Viscosity Limit ◽  
Navier Slip ◽  
Slip Boundary ◽  
Viscosity Limit

AbstractIn this paper, we consider the solvability, regularity and vanishing viscosity limit of the 3D viscous Boussinesq equations with a Navier-slip boundary condition. We also obtain the rate of convergence of the solution of viscous Boussinesq equations to the corresponding ideal Boussinesq equations.

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