On a stochastic nonlocal conservation law in a bounded domain

doi:10.1016/j.bulsci.2016.03.003

Details of Research Outputs

Status	已发表Published
Title	On a stochastic nonlocal conservation law in a bounded domain
Creator	Lv, Guangying 1; Duan, Jinqiao 2; Gao, Hongjun 3; Wu, Jianglun4
Date Issued	2016-09-01
Source Publication	Bulletin des Sciences Mathematiques
ISSN	0007-4497
Volume	140 Issue:6 Pages:718-746
Abstract	In this paper, we are interested in the Dirichlet boundary value problem for a multi-dimensional nonlocal conservation law with a multiplicative stochastic perturbation in a bounded domain. Using the concept of measure-valued solutions and Kruzhkov's semi-entropy formulations, a result of existence and uniqueness of entropy solution is proved.
Keyword	Anomalous diffusion Conservation laws Itô's formula Stochastic Burgers equation
DOI	10.1016/j.bulsci.2016.03.003
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000383814600007
Scopus ID	2-s2.0-84978197312
Citation statistics	Cited Times:7[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/10513
Collection	Research outside affiliated institution
Affiliation	1.Institute of Contemporary Mathematics,Henan University,Kaifeng,475001,China 2.Department of Applied Mathematics,Illinois Institute of Technology,Chicago,60616,United States 3.Institute of Mathematics,School of Mathematical Science,Nanjing Normal University,Nanjing,210023,China 4.Department of Mathematics,College of Science,Swansea University,Swansea,SA2 8PP,United Kingdom
Recommended Citation GB/T 7714	Lv, Guangying,Duan, Jinqiao,Gao, Hongjunet al. On a stochastic nonlocal conservation law in a bounded domain[J]. Bulletin des Sciences Mathematiques, 2016, 140(6): 718-746.
APA	Lv, Guangying, Duan, Jinqiao, Gao, Hongjun, & Wu, Jianglun. (2016). On a stochastic nonlocal conservation law in a bounded domain. Bulletin des Sciences Mathematiques, 140(6), 718-746.
MLA	Lv, Guangying,et al."On a stochastic nonlocal conservation law in a bounded domain". Bulletin des Sciences Mathematiques 140.6(2016): 718-746.

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