Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations

@article{Bian2015ViscousSW,
  title={Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations},
  author={Dongfen Bian and Lili Fan and Lin He and Huijiang Zhao},
  journal={Acta Mathematicae Applicatae Sinica, English Series},
  year={2015},
  volume={35},
  pages={129-157}
}
This paper is concerned with the inflow problem for one-dimensional compressible Navier-Stokes equations. For such a problem, Huang, Matsumura, and Shi showed in [4] that there exists viscous shock wave solution to the inflow problem and both the boundary layer solution, the viscous shock wave, and their superposition are time-asymptotically nonlinear stable provided that both the initial perturbation and the boundary velocity are assumed to be sufficiently small. The main purpose of this paper… CONTINUE READING

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