We consider the vanishing viscosity limit for a model of a general non-Newtonian compressible fluid in $R^d$, $d=2,3$. We suppose that the initial data approach a profile determined by the Riemann data generating a planar rarefaction wave for the isentropic Euler system. Under these circumstances the associated sequence of dissipative solutions approaches the corresponding rarefaction wave strongly in the energy norm in the vanishing viscosity limit. The result covers the particular case of a linearly viscous fluid governed by the Navier–Stokes system.

中文翻译：

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等熵欧拉系统一般粘度扰动下平面稀疏波的稳定性

我们考虑一般非牛顿可压缩流体模型的粘度消失极限 ${\mathrm{电阻}}^d$, $d=2,3$. 我们假设初始数据接近由黎曼数据确定的轮廓，为等熵欧拉系统生成平面稀疏波。在这些情况下，相关的耗散解序列在粘度消失极限的能量范数中强烈地接近相应的稀疏波。结果涵盖了由 Navier-Stokes 系统控制的线性粘性流体的特殊情况。