The exact solutions to the Riemann problem for an inhomogeneous extended Chaplygin gas equations with friction are constructed explicitly. Compared to the homogeneous system, the Riemann solutions for the inhomogeneous one are no longer self-similar. Then, as the two exponents vanish wholly or partly, two kinds of occurrence mechanism on the phenomenon of concentration and the formation of delta shock waves are identified and investigated. It is rigorously proved that as the pressure tends to a constant, the Riemann solutions of the inhomogeneous extended Chaplygin gas equations converge to those of the zero-pressure flow with a body force, while as the pressure approaches some special generalized Chaplygin gas, the Riemann solutions of the inhomogeneous extended Chaplygin gas equations tend to those of the generalized Chaplygin gas equations with the same source term.

明确构造了具有摩擦的非均匀扩展Chaplygin气体方程的Riemann问题的精确解。与齐次系统相比，非齐次方程的Riemann解不再是自相似的。然后，随着两个指数全部或部分消失，对集中现象和三角波冲击波形成的两种发生机理进行了识别和研究。严格证明，当压力趋于恒定时，不均匀扩展的Chaplygin气体方程的Riemann解会随着体力收敛到零压力流的解，而当压力接近某些特殊的广义Chaplygin气体时，