  For barotropic compressible Navier-Stokes equations in three-dimensional (3D)
bounded domains, we prove that any finite energy weak solution obtained by
Lions [Mathematical topics in fluid mechanics, Vol. 2. Compressible
models(1998)] and Feireisl-Novotn\'{y}-Petzeltov\'{a} [J. Math. Fluid Mech.
3(2001), 358-392] decays exponentially to the equilibrium state. This result is
established by both using the extra integrability of the density due to Lions
and constructing a suitable Lyapunov functional just under the framework of
Lions-Feireisl's weak solutions.
