Abstract
This work is concerned with the large time behavior of solutions to the barotropic compressible Navier-Stokes equations in Rd(d≥2). A pure energy argument (independent of spectral analysis) has been developed in more general Lp framework, which enables us not only to obtain the optimal time-decay rates but also to remove the smallness of low frequencies of initial data that has been required in previous studies on this problem. The crucial part of the proof lies in the evolution of negative Besov norms at low frequencies, which mainly depends on non standardLp product estimates and some elaborate use of Sobolev embeddings and interpolations. Our results could also hold true in case of large highly oscillating initial velocities in comparison with classical efforts.
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