Before revision:  To solve the stationary nonlinear Navier-Stokes  equation, we introduce the idea of linearization of Navier-Stokes equation and iterative methods to treat the nonlinear convection term . Three forms of linearizations will be considered.
After revision:  To solve the stationary nonlinear Navier-Stokes equation, we introduce the idea of linearization of Navier-Stokes equation and iterative methods to treat the nonlinear convection term in the NS equation into the training process of multi-scale deep neural network approximation of the NS solution. Four forms of linearizations will be considered.