Abstract

AbstractIn this paper, we revisit the optimal time decay rates of classical solutions to the 3D compressible Navier‐Stokes equations. Based on a global priori estimate, the optimal time decay rates of the solution and its first order derivative in L2‐norm are obtained if ‐norm of the initial perturbation around a constant state is small enough and is bounded for . Compared with the previous works by Hai‐Liang Li and Ting Zhang (Math Meth Appl Sci 34:670‐682, 2011), we remove the smallness of and our condition involves only the low frequencies of the data in .

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