京津地区跨界空气污染问题研究  

Research of Transboundary Air Pollution Problems of Beijing-Tianjin Region

作　　者：鲁祖亮[1,2,3] 李林[1] 曹龙舟 黄飞 LU Zuliang;LI Lin;CAO Longzhou;HUANG Fei(Key Laboratory for Nonlinear Science and System Structure , Chongqing Tree Gorges University,Chongqing 404100,China;Reaserch Center of Substainable Development in Three Gorges Reservoir Area , Chongqing Three Gorges University , Chongqing 404100, China;Research Center for Mathematics and Economics , Tianjin University of Finance and Economics,Tianjin 300222, China)

机构地区：[1]重庆三峡学院非线性科学与系统结构重点实验室,重庆404100 [2]重庆三峡学院三峡库区可持续发展研究中心,重庆404100 [3]天津财经大学数学与经济研究中心,天津300222

出　　处：《经济数学》2019年第1期19-24,共6页Journal of Quantitative Economics

基　　金：国家自然科学基金资助项目(11201510;11171251);重庆市高校科研创新团队(CXTDX201601035);教育部春晖计划(Z2015139);中国博士后科学基金特等资助(2017T100155);中国博士后科学基金一等资助(2015M580197);重庆市科委项目(cstc2015jcyjA20001);三峡库区可持续发展研究中心开放基金项目(17sxxyid04)

摘　　要：利用拟合有限体积法研究京津地区跨界空气污染问题,提出碳排放交易条件下的随机微分博弈模型,利用随机最优控制理论推导出合作博弈模型的哈密顿-雅可比-贝尔曼方程,并利用京津地区数据实证分析了算法的实用性和有效性.We study transboundary air pollution of Beijing-Tianjin Region by using the fitted finite volume method. We present a stochastic differential game to model the problems with carbon emission permits trading. By using the stochastic optimal control theory, we derive the system of Hamilton-Jacobi-Bellman equations for the cooperative games. Finally, we give an empirical study to illustrate the efficiency and the usefulness of this method based on the data of Beijing-Tianjin region.

关 键 词：跨界空气污染问题 京津地区 哈密顿雅可比-贝尔曼方程 拟合有限体积法 

分 类 号：O242.1[理学—计算数学]