In this paper, we consider the compressible Navier–Stokes equations without heat conductivity in \({\mathbb {R}}^{3}.\) The global existence and uniqueness of strong solutions are established when the initial value towards its equilibrium is sufficiently small in \(H^{2}({\mathbb {R}}^{3}).\) The key uniform bound of entropy is obtained, even though the entropy is non-dissipative due to the absence of heat conductivity. Moreover, the time decay rates of global solutions are also given.

中文翻译：

---

无导热系数的可压缩Navier–Stokes方程强解的衰减率

在本文中，我们考虑了可压缩Navier-Stokes方程，而不热导率在\（{\ mathbb {R}} ^ {3}。\）时朝向其均衡的初始值是强解的整体存在唯一建立\（H ^ {2}（{\ mathbb {R}} ^ {3}）中足够小。）即使由于没有导热性而使熵无耗散，也可以获得熵的关键均匀界线。 。此外，还给出了整体解的时间衰减率。