带有源项的广义Chaplygin气体磁流体Euler方程组Riemann解的极限  

Limits of Riemann Solutions for Generalized Chaplygin Gas Magnetohydrodynamic Euler Equations With Source Terms

作　　者：俞康宁 郭俐辉[1] YU Kangning;GUO Lihui(College of Mathematics and System Science,Xinjiang University,Urumqi 830046,P.R.China)

机构地区：[1]新疆大学数学与系统科学学院,乌鲁木齐830046

出　　处：《应用数学和力学》2020年第4期420-437,共18页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11761068,11401508,11461066);新疆维吾尔自治区自然科学基金(2017D01C053)。

摘　　要：研究了带有源项的广义Chaplygin气体磁流体Euler方程组Riemann解的极限.由于非齐次项的影响,带有源项的广义Chaplygin气体磁流体Euler方程组Riemann解不再是自相似的.当压力和磁感强度同时消失时,它的解会收敛到零压流输运方程组的Riemann解,解中会出现δ-激波和真空现象.同时研究还得到了仅当磁感强度消失时,它的解会收敛到非齐次广义Chaplygin气体Euler方程组的Riemann解,并且解中只出现δ-激波.The asymptotic behaviors of Riemann solutions for generalized Chaplygin gas magnetohydrodynamic Euler equations with source terms were considered.The self-similarity of the solutions is no longer true due to the inhomogeneous term.They will converge to Riemann solutions for zero-pressure flow transport equations when pressure and magnetic induction disappear at the same time,andδ-shock wave and vacuum will appear in the solutions.The solutions will converge to Riemann solutions for generalized Chaplygin gas Euler equations with inhomogeneous terms in the case of vanishment of magnetic induction,additionally onlyδ-shock wave appears in the solutions.

关 键 词：广义Chaplygin气体 磁流体Euler方程组 源项 非自相似 RIEMANN问题 

分 类 号：O175.24[理学—数学]