期刊论文

Ruan, Lizhi

英文

SIAM JOURNAL ON MATHEMATICAL ANALYSIS

0036-1410

2019

51

1

595-625

10.1137/18M1203043

Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11871388, 11701439, 11771169, 11331005, 11871236, 11301205]; Fundamental Research Grants from the Science Foundation of Hubei Province [2018CFB693]; Program for Changjiang Schol-ars and Innovative Research Team in UniversityProgram for Changjiang Scholars & Innovative Research Team in University (PCSIRT) [IRT17R46]; Special Fund for Basic Scientific Research of Central Colleges [CCNU18CXTD04]; Research Grants Council of the HKSAR, ChinaHong Kong Research Grants Council [CityU 21305215, CityU 11332916, CityU 11304817, CityU 11303518]

本校为通讯机构

This paper is devoted to the study of the initial-boundary value problem on the half line for a one-dimensional radiative Euler equations, which is a system coupled by the classic compressible nonisentropic Euler equations with an elliptic equation. In particular, we focus our attention on the inflow problem when the velocity of the inward flow on the boundary is given as a positive constant. We give a rigorous proof of the asymptotic stability of the rarefaction wave without restrictions on the smallness of the wave strength, provided that the data on the boundary is supersonic. It is the fir...