We consider a model of one dimensional isentropic compressible Navier–Stokes equations for which the classical Newtonian flow is replaced by a Maxwell flow. We establish the asymptotic stability of rarefaction waves for this model under some small conditions on initial perturbations and amplitude of the waves. The proof is based on \(L^2\) energy methods.

中文翻译：

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双曲可压缩纳维-斯托克斯方程稀疏波的渐近稳定性

我们考虑一维等熵可压缩纳维-斯托克斯方程模型，其中经典牛顿流被麦克斯韦流取代。我们在波的初始扰动和振幅的一些小条件下建立了该模型的稀疏波渐近稳定性。证明基于\(L^2\)能量方法。