Delta shock wave solution for a symmetric Keyfitz-Kranzer system

作者：Shen, Chun^*

来源：Applied Mathematics Letters, 2018, 77: 35-43.

DOI：10.1016/j.aml.2017.09.016

• Keyfitz-Kranzer system
• Temple class
• Riemann problem
• Delta shock wave
• Wave interaction

The Riemann solutions for a symmetric Keyfitz-Kranzer system are constructed explicitly, in which some singular hyperbolic waves are discovered such as the delta shock wave and the composite wave JR. The global solutions to the double Riemann problem are achieved when the delta shock wave is involved. It is shown that a delta shock wave is separated into a delta contact discontinuity and a shock wave during the process of constructing solutions.

• 出版日期2018-3
• 单位鲁东大学