Heterogeneous stochastic scalar conservation laws with non-homogeneous dirichlet boundary conditions

doi:10.1142/S021989161850011X

科研成果详情

发表状态	已发表Published
题名	Heterogeneous stochastic scalar conservation laws with non-homogeneous dirichlet boundary conditions
作者	Lv, Guangying 1,2; Wu, Jianglun3,4
发表日期	2018-06-01
发表期刊	Journal of Hyperbolic Differential Equations
ISSN/eISSN	0219-8916
卷号	15 期号:2 页码:291-328
摘要	We introduce a notion of stochastic entropy solutions for heterogeneous scalar conservation laws with multiplicative noise on a bounded domain with non-homogeneous boundary condition. Using the concept of measure-valued solutions and Kruzhkov's semi-entropy formulations, we show the existence and uniqueness of stochastic entropy solutions. Moreover, we establish an explicit estimate for the continuous dependence of stochastic entropy solutions on the flux function and the random source function.
关键词	Entropy solution Itô's formula Scalar conservation law
DOI	10.1142/S021989161850011X
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000437003600005
Scopus入藏号	2-s2.0-85049411484
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/10505
专题	个人在本单位外知识产出
通讯作者	Lv, Guangying
作者单位	1.School of Mathematical Science,Nanjing Normal University,Nanjing,210023,China 2.Institute of Applied Mathematics,Henan University,Kaifeng,475004,China 3.School of Mathematics,Northwest University,Xi'an, Shaanxi Province,710127,China 4.Department of Mathematics,College of Science,Singleton Park, Swansea,Swansea University,SA2 8PP,United Kingdom
推荐引用方式 GB/T 7714	Lv, Guangying,Wu, Jianglun. Heterogeneous stochastic scalar conservation laws with non-homogeneous dirichlet boundary conditions[J]. Journal of Hyperbolic Differential Equations, 2018, 15(2): 291-328.
APA	Lv, Guangying, & Wu, Jianglun. (2018). Heterogeneous stochastic scalar conservation laws with non-homogeneous dirichlet boundary conditions. Journal of Hyperbolic Differential Equations, 15(2), 291-328.
MLA	Lv, Guangying,et al."Heterogeneous stochastic scalar conservation laws with non-homogeneous dirichlet boundary conditions". Journal of Hyperbolic Differential Equations 15.2(2018): 291-328.