Abstract
We consider the compressible barotropic Navier-Stokes-Korteweg system with friction in this paper.The global solutions and optimal convergence rates are obtained by pure energy method provided the initial perturbation around a constant state is small enough. In particular, the decay ratesof the higher-order spatial derivatives of the solution areobtained. Our proof is based on a family of scaled energy estimatesand interpolations among them without linear decay analysis.
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