WEAKLY CONVERGENCE OF THE 2D NAVIET-STOKES STRATIFIED SYSTEM

Abstract

In this paper, we study the inviscid limit for the Navier-Stokes stratified system in space dimension two with a real valued function F depend only on the temperature θ. Precisely we prove the weakly convergence in the space L_loc^∞ (R_+,L^2×L^2)of the viscous solutions 〖(v_ν,θ_ν)〗_(ν>0) to the solution (v,θ) of the Euler stratified system as ν→0.