We study the large-time asymptotic behavior of solutions toward the weak rarefaction wave of Navier–Stokes equations coupling with the Maxwell equations under small perturbations of initial data and also under the dielectric constant suitably small. The result is proved based on elementary $L^2$ energy methods.

中文翻译：

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等熵可压缩Navier–Stokes–Maxwell方程的稀疏波稳定性

我们研究了在较小初始数据扰动下以及在介电常数适当较小的情况下，与Navier-Stokes方程和Maxwell方程耦合的弱稀疏波的解的长时间渐近行为。结果基于基础证明${\mathrm{大号}}^2$ 能量方法。