期刊论文

Tang, Shaojun

英文

ANALYSIS AND APPLICATIONS

0219-5305

2019

17

2

211-234

10.1142/S0219530518500239

The authors are grateful to Professor A. Matsumura for his support and advice. This work was supported by the Fundamental Research Funds for the Central Universities and four grants from the National Natural Science Foundation of China under contracts 11301405, 11701439, 11671309, 11601398 and 11731008, respectively. This work was also supported by the Fundamental Research grants from the Science Foundation of Hubei Province under contracts 2018CFB693.

本校为第一机构

This paper is concerned with the Cauchy problem of heat-conductive ideal gas without viscosity, where the far field states are prescribed. When the corresponding Riemann problem for the compressible Euler system has the solution consisting of a contact discontinuity and rarefaction waves, we show that if the strengths of the wave patterns and the initial perturbation are suitably small, the unique global-in-time solution exists and asymptotically tends to the corresponding composition of a viscous contact wave with rarefaction waves, which exte...