We consider the large time behavior of solutions of the Cauchy problem for the one-dimensional compressible Navier-Stokes equations for a reacting mixture. When the corresponding Riemann problem for the Euler system admits a contact discontinuity wave, it is shown that the viscous contact wave which corresponds to the contact discontinuity is asymptotically stable, provided the strength of contact discontinuity and the initial perturbation are suitably small. We apply the approach introduced in Huang, Li and Matsumura (2010) [1] and the elementary L²-energy methods.

中文翻译：

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反应混合物一维可压缩Navier-Stokes方程的粘性接触波的渐近稳定性

我们考虑反应混合物的一维可压缩Navier-Stokes方程的Cauchy问题解的长时间行为。当用于欧拉系统的相应的黎曼问题允许接触不连续波时，表明与接触不连续相对应的粘性接触波是渐近稳定的，只要接触不连续的强度和初始扰动适当地小。我们采用Huang，Li和Matsumura（2010）[1]中介绍的方法以及基本的L ²能量方法。