LARGE DEVIATION PRINCIPLES FOR FIRST-ORDER SCALAR CONSERVATION LAWS WITH STOCHASTIC FORCING
文献类型：期刊论文
| 作者 | Dong, Zhao2 ; Wu, Jiang-Lun3; Zhang, Rangrang4; Zhang, Tusheng1
|
| 刊名 | ANNALS OF APPLIED PROBABILITY
 |
| 出版日期 | 2020-02-01 |
| 卷号 | 30期号:1页码:324-367 |
| 关键词 | Large deviations first-order conservation laws weak convergence approach kinetic solution |
| ISSN号 | 1050-5164 |
| DOI | 10.1214/19-AAP1503 |
| 英文摘要 | In this paper, we established the Freidlin-Wentzell-type large deviation principles for first-order scalar conservation laws perturbed by small multiplicative noise. Due to the lack of the viscous terms in the stochastic equations, the kinetic solution to the Cauchy problem for these first-order conservation laws is studied. Then, based on the well-posedness of the kinetic solutions, we show that the large deviations holds by utilising the weak convergence approach. |
| 资助项目 | National Natural Science Foundation of China[11431014] ; National Natural Science Foundation of China[11801032] ; National Natural Science Foundation of China[11671372] ; National Natural Science Foundation of China[11721101] ; Key Laboratory of Random Complex Structures and Data Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences[2008DP173182] ; China Postdoctoral Science Foundation[2018M641204] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000517756200009 |
| 出版者 | INST MATHEMATICAL STATISTICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50885]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Dong, Zhao |
| 作者单位 | 1.Univ Manchester, Sch Math, Manchester, Lancs, England 2.Chinese Acad Sci, Acad Math & Syst Sci, RCSDS, Beijing, Peoples R China 3.Swansea Univ, Dept Math, Swansea, W Glam, Wales 4.Beijing Inst Technol, Sch Math & Stat, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dong, Zhao,Wu, Jiang-Lun,Zhang, Rangrang,et al. LARGE DEVIATION PRINCIPLES FOR FIRST-ORDER SCALAR CONSERVATION LAWS WITH STOCHASTIC FORCING[J]. ANNALS OF APPLIED PROBABILITY,2020,30(1):324-367. |
| APA | Dong, Zhao,Wu, Jiang-Lun,Zhang, Rangrang,&Zhang, Tusheng.(2020).LARGE DEVIATION PRINCIPLES FOR FIRST-ORDER SCALAR CONSERVATION LAWS WITH STOCHASTIC FORCING.ANNALS OF APPLIED PROBABILITY,30(1),324-367. |
| MLA | Dong, Zhao,et al."LARGE DEVIATION PRINCIPLES FOR FIRST-ORDER SCALAR CONSERVATION LAWS WITH STOCHASTIC FORCING".ANNALS OF APPLIED PROBABILITY 30.1(2020):324-367. |
入库方式： OAI收割
来源：数学与系统科学研究院
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