TITLE:
Wave Interactions for the Suliciu Relaxation System
AUTHORS:
Bingzhuang Liu, Yujin Liu
KEYWORDS:
Hyperbolic Conservation Laws, Wave Interaction, Riemann Problem, Delta Shock, Suliciu Relaxation System
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.7,
July
13,
2021
ABSTRACT: In this paper, we investigate the elementary wave interactions for the Suliciu relaxation system and construct uniquely the solution by the characteristic analysis method in the phase plane. We find that the elementary wave interactions have a much simpler structure for the Temple class than the general systems of conservation laws. It is observed that the Riemann solutions of the Suliciu relaxation system are stable under the small perturbation on the Riemann initial data.