The motivation of this study is to analyze the structure of the Riemann solutions for compressible hyperbolic system, so called logotropic system, with a Coulomb-type friction. The classical wave solutions of the Riemann problem (RP) for the logotropic system are structured explicitly for all cases. The system considered in this problem is hyperbolic in nature and the characteristic fields associated with the characteristics are genuinely nonlinear. It is shown that the Riemann solutions for the logotropic system with a Coulomb-type friction term composed of the rarefaction wave and shock wave. It is found that the Coulomb-type friction term, appearing in the governing equations, influences the Riemann solution for the logotropic system.

这项研究的目的是分析具有库仑摩擦的可压缩双曲线系统，即所谓的回归系统的黎曼解的结构。回归系统的黎曼问题（RP）的经典波动解在所有情况下均得到明确构造。在这个问题中考虑的系统本质上是双曲的，并且与特性相关的特性场实际上是非线性的。结果表明，具有稀疏波和冲击波的库仑型摩擦项的回归系统的黎曼解。发现在控制方程中出现的库仑型摩擦项影响了回归系统的黎曼解。