新疆大学学报（自然科学版中英文）2026，Vol.43Issue(2)：183-195,13.DOI:10.13568/j.cnki.651094.651316.2025.03.02.0001
预期因子为反Chaplygin气体宏观生产模型黎曼解的渐近极限
The Asymptotic Limit of the Riemann Solution for the Macroscopic Production Model with Anti-Chaplygin Gas
摘要
Abstract
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.关键词
宏观生产模型/反Chaplygin气体/黎曼问题/数值模拟Key words
macroscopic production model/anti-Chaplygin gas/Riemann problem/numerical simulation分类
数理科学引用本文复制引用
何伟华,郭俐辉..预期因子为反Chaplygin气体宏观生产模型黎曼解的渐近极限[J].新疆大学学报（自然科学版中英文）,2026,43(2):183-195,13.基金项目
新疆人才发展基金资助"流体动力学方程组的初边值问题"(XJRC-2025-KJ-PY-KJLJ-105) （XJRC-2025-KJ-PY-KJLJ-105）
中央引导地方科技发展项目"非线性守恒律方程组的初边值问题"(ZYYD2026ZY11). （ZYYD2026ZY11）
