... Conditions 2.23–2.25 mean that the constants E1,E2,E3,andM1are suffi-ciently small. In other words the initial functions ρ0,v0,ω0,andθ0are small perturbations of the constants.10 ... T. In the second part of the work weanalyze the behavior of the solution as T →∞. In the last part we prove that the solution ofour problem converges uniformly on R to a stationary one.Boundary ... K5θt,3.30and 3.10 is satisfied. In the continuation we use the above results and the conditions of Theorem 2.1.Similarly as in 4, 5, we derive the estimates for the solution ρ, v, ω,...