In this paper our goal is to define a renormalized dissipative measure-valued (rDMV) solution of compressible Navier–Stokes system for fluids with non-monotone pressure–density relation. We prove existence of rDMV solutions and establish a suitable relative energy inequality. Moreover we obtain the weak (measure-valued)–strong uniqueness property of this rDMV solution with the help of relative energy inequality.

中文翻译：

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具有非单调压力定律的可压缩Navier-Stokes系统的弱（度量值）-强唯一性

在本文中，我们的目标是为具有非单调压力-密度关系的流体定义可压缩的Navier-Stokes系统的归一化耗散量值（rDMV）解决方案。我们证明了rDMV解决方案的存在，并建立了合适的相对能量不等式。此外，借助于相对能量不等式，我们获得了该rDMV解决方案的弱（度量值）-强唯一性。