Article citationsMore>>

Liu, T.P. (1997) Pointwise Convergence to Shock Waves for Viscous Conservation Laws. Communications on Pure and Applied Mathematics, 50, 1113-1182.
https://doi.org/10.1002/(SICI)1097-0312(199711)50:11<1113::AID-CPA3>3.0.CO;2-D

has been cited by the following article:

• TITLE: Asymptotic Stability of Combination of Contact Discontinuity with Rarefaction Waves for the One-Dimensional Viscous Micropolar Fluid Model

  AUTHORS: Lishuang Peng

  KEYWORDS: Contact Discontinuity, Rarefaction Waves, Viscous Micropolar Fluid Model, Asymptotic Stability, Energy Estimates

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.9, September 24, 2019

  ABSTRACT: In this paper, we consider with the large time behavior of solutions of the Cauchy problem to the one-dimensional compressible micropolar fluid model, where the far field states are prescribed. When the corresponding Riemann problem for the Euler system admits the solution consisting of contact discontinuity and rarefaction waves, it is shown that the combination wave corresponding to the contact discontinuity, with rarefaction waves is asymptotically stable provided that the strength of the combination wave and the initial perturbation are suitably small. This result is proved by using elementary L2-energy methods.