We consider a singular limit for the compressible Navier–Stokes system with general non-monotone pressure law in the asymptotic regime of low Mach number and large Reynolds numbers. We show that any dissipative weak solution approaches the solution of incompressible Euler equation both for well-prepared initial data and ill-prepared initial data.

中文翻译：

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具有非单调压力定律的可压缩Navier–Stokes系统的奇异极限

在低马赫数和大雷诺数的渐近状态下，我们考虑具有一般非单调压力定律的可压缩Navier-Stokes系统的奇异极限。我们表明，对于良好准备的初始数据和不良准备的初始数据，任何耗散性弱解都接近不可压缩的Euler方程的解。