初值带δ函数的运输方程的黎曼问题（英文）  

Riemann problem to transport equations with delta initial data

作　　者：曾莹 ZENG Ying(College of Teacher Education,Quzhou University Quzhou 324000,Zhejiang Province,China;College of Sciences,Shanghai University,Shanghai 200444,China)

机构地区：[1]衢州学院教师教育学院,浙江衢州324000 [2]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2018年第2期295-304,共10页Communication on Applied Mathematics and Computation

基　　金：Supported by the National Natural Science Foundation of China(11371240);the Shanghai Municipal Education Commission of Scientific Research Innovation Project(11ZZ84);the Doctoral Starting up Foundation of Quzhou University,China(201508)

摘　　要：研究了具有δ初值的运输方程的黎曼问题,并且构造了在广义Rankine-Hugoniot条件和δ熵条件下的全局解.更进一步,通过对初值的扰动得到了广义解的稳定性.In this paper, the Riemann problem to the transport equations with delta initial data is studied. The solutions are constructed globally under the generalized Rankine-Hugoniot relations and the δ-entropy conditions. Furthermore,by using of the perturbation of the initial data, the stability of the generalized solutions is obtained.

关 键 词：RIEMANN问题 运输方程 广义Rankine-Hugoniot条件 δ初值 

分 类 号：O175.27[理学—数学] O175.29[理学—基础数学]