We study the Cauchy problem for the equations describing a heat-conducting compressible fluid in three dimensional space with non-negative density. The global existence of unique strong solution is established, in case when the initial energy is assumed to be small. In addition, the decay rates for the solutions and their derivatives are derived.

中文翻译：

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无限真空下导热性可压缩流体Navier-Stokes方程的整体强解

我们研究了柯西问题的方程，该方程描述了非负密度三维空间中的导热可压缩流体。如果假设初始能量很小，则将建立唯一解的全局存在性。另外，得出溶液及其衍生物的衰减率。