中文摘要：

本文研究了粘性系数依赖密度的一维可压缩Navier—Stokes方程的初值间断问题．当初始密度间断任意大时，证明了一维可压缩Navier—Stokes方程固定边界问题整体弱解的存在唯—性，分段正则性，并给出了弱解的大时间行为等．

英文摘要：

This paper is concerned with the initial boundary value problem for one-dimensional barotropic compressible Navier-Stokes equations with density-dependent viscosity coefficients and discontinuous initial data. We prove that there exists a unique global weak solution for piecewise regular initial density with arbitrarily large jump discontinuity. Moreover, we show that the jump of density decays exponentially in time and the piecewise regular solution tends to the equilibrium state exponentially as time tends to infinity.