The zero dissipation limit of the one-dimensional non-isentropic micropolar equations is studied in this paper. If the given rarefaction wave which connects to vacuum at one side, a sequence of solution to the micropolar equations can be constructed which converge to the above rarefaction wave with vacuum as the viscosity and the heat conduction coefficient tend to zero. Moreover, the uniform convergence rate is obtained. The key point in our analysis is how to control the degeneracies in the vacuum region in the zero dissipation limit process.

中文翻译：

---

一维非等熵微极性方程的稀疏波在真空中的零耗散极限

研究了一维非等熵微极性方程的零耗散极限。如果给定的稀疏波在一侧连接到真空，则可以构造微极性方程的解的序列，当粘度和导热系数趋于零时，该微极方程的解收敛到具有真空的上述稀疏波。而且，获得了均匀的收敛速度。我们分析的重点是在零耗散极限过程中如何控制真空区域的简并性。