Renormalized entropy solutions of stochastic scalar conservation laws with boundary condition

doi:10.1016/j.jfa.2016.06.012

科研成果详情

发表状态	已发表Published
题名	Renormalized entropy solutions of stochastic scalar conservation laws with boundary condition
作者	Lv, Guangying 1; Wu, Jianglun2
发表日期	2016-10-15
发表期刊	Journal of Functional Analysis
ISSN/eISSN	0022-1236
卷号	271 期号:8 页码:2308-2338
摘要	This paper is concerned with the renormalized stochastic entropy solutions of stochastic scalar conservation law forced by a multiplicative noise on a bounded domain with a non-homogeneous boundary condition. We first introduce a notion of renormalized stochastic entropy solutions and then establish the existence and uniqueness of the renormalized stochastic entropy solutions for a general L-data. Our results allow us to give a positive answer to an open problem posed by Bauzet, Vallet and Wittbold in [4].
关键词	Itô's formula L1-theory Renormalized entropy solutions Scalar conservation law
DOI	10.1016/j.jfa.2016.06.012
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000382427300010
Scopus入藏号	2-s2.0-84995611719
引用统计	被引频次：5[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/10512
专题	个人在本单位外知识产出
作者单位	1.School of Mathematics and Statistics,Henan University,Kaifeng,475001,China 2.Department of Mathematics,Swansea University,Swansea,SA2 8PP,United Kingdom
推荐引用方式 GB/T 7714	Lv, Guangying,Wu, Jianglun. Renormalized entropy solutions of stochastic scalar conservation laws with boundary condition[J]. Journal of Functional Analysis, 2016, 271(8): 2308-2338.
APA	Lv, Guangying, & Wu, Jianglun. (2016). Renormalized entropy solutions of stochastic scalar conservation laws with boundary condition. Journal of Functional Analysis, 271(8), 2308-2338.
MLA	Lv, Guangying,et al."Renormalized entropy solutions of stochastic scalar conservation laws with boundary condition". Journal of Functional Analysis 271.8(2016): 2308-2338.