期刊论文

Bian, Dong-fen

英文

应用数学学报：英文版

0168-9673

2019

35

1

129-157

10.1007/s10255-019-0801-2

Manuscript received June 18, 2018. Accepted on October 7, 2018. Dongfen Bian is partially supported by two grants of the National Natural Science Foundation of China under the contracts 11501028 and 11871005 respectively and by a grant of the China Postdoctoral Science Foundation under contract 2015M570938. Lili Fan is partially supported by a grant from the National Natural Science Foundation of China under contract 11871388. Lin He is partially supported by “the Fundamental Research Funds for the Central Universities”. Huijiang Zhao is partially supported by two grants from the National Natural Science Foundation of China under contracts 11671309 and 11731008, respectively.

本校为其他机构

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 is to show that similar stability results still hold for a class of large initial perturbation which...