期刊论文

Ruan, Lizhi

英文

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

1078-0947

2021

41

4

1971-1999

10.3934/dcds.2020349

mous referees for valuable suggestions and comments. The research of Lili Fan was supported by the Natural Science Foundation of China #11871388 and in part by the Natural Science Foundation of China #11701439. The research of Lizhi Ruan was supported in part by the Natural Science Foundation of China #11771169, #11331005, #11871236, Program for Changjiang Scholars and Innovative Research Team in University #IRT17R46, and the Special Fund for Basic Scientific Research of Central Colleges #CCNU19TS031. The research of Wei Xiang was supported in part by the Research Grants Council of the HKSAR, China (Project No. CityU 21305215, Project No. CityU 11332916, Project No. CityU 11304817 and Project No. CityU 11303518).

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This paper is devoted to the study of the inflow problem governed by the radiative Euler equations in the one-dimensional half space. We establish the unique global-in-time existence and the asymptotic stability of the viscous contact discontinuity solution. It is different from the case involved with the rarefaction wave for the inflow problem in our previous work [6], since the rarefaction wave is a nonlinear expansive wave, while the contact discontinuity wave is a linearly degenerate diffusive wave. So we need to take good advantage of properties of the viscous contact discontinuity wave i...