  We study the asymtotic behavior of solutions to the two-dimensional
stochasitc Navier-Stokes (SNS) equation in the small viscosity limit. The SNS
equation is supplemented with no-slip boundary condition, in which a strong
boundary layer shall appear in the limit due to the mismatch of the boundary
conditions of the SNS equation and the corresponding limit problem. Several
equivalent dissipation conditions are derived to ensure the convergence hold in
the energy space. One novelty of this work is that we do not assume any
smallness for the noise.
