Large-time behavior of solutions to the compressible Navier–Stokes equations for viscous and heat-conductive gases in \(\mathbb {R}^3\) is examined. Under a suitable condition involving only the low frequencies of the initial data, optimal time decay rates for the non-isentropic compressible Navier–Stokes flows are obtained, by developing some energy arguments given by Xin and Xu (Optimal decay for the compressible Navier–Stokes equations without additional smallness assumptions, arXiv:1812.11714v2).

中文翻译：

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三维可压缩粘性和导热气体的长期行为

研究了\（\ mathbb {R} ^ 3 \）中粘性和导热气体的可压缩Navier-Stokes方程解的长时间行为。在仅涉及初始数据低频的合适条件下，通过发展Xin和Xu给出的一些能量论证，可得到非等熵可压缩Navier–Stokes流的最佳时间衰减率（可压缩Navier–Stokes的最佳衰减）。不具有其他较小假设的方程式，arXiv：1812.11714v2）。