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In this article, we consider the global behavior of weak solutions of the Navier-Stokes equations of a compressible fluid in a bounded domain driven by bounded forces for the adiabatic constant \(\gamma=5/3\). Under the condition of a small mass depending on the given forces, we prove the existence of bounded absorbing sets of weak solutions, and thus we further get global bounded trajectories and global attractors to the weak solutions.

On global behavior of weak solutions to the Navier-Stokes equations of compressible fluid for γ = 5 / 3 $\gamma=5/3$