预期因子为反Chaplygin气体宏观生产模型黎曼解的渐近极限OA

This paper mainly studies the limit behavior of Riemann solutions for the macroscopic production model with anti-Chaplygin gas.Firstly,we investigate the Riemann problem associated with this model.Three types of Riemann solutions are obtained:a combination of contact discontinuity and rarefaction wave(J1+R2),a combination of contact discontinuity and shock wave(J1+S2),and Dirac shock wave(δS).Secondly,the pressure vanishing limit of the macroscopic production model of the anti-Chaplygin gas is studied.As the perturbation parameter ε decreases to the parameter ε0,which is dependent only on the initial data,it is proved that the Riemann solution(J1+S2)converges to the δS of the anti-Chaplygin gas state equation.Moreover,when ε eventually approaches 0,the δS converges to the δS of the transport equation.Additionally,it is proved that the Riemann solution(J1+R2)converges to the vacuum solution of the transport equation.Finally,we present some representative numerical experimental results.