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

doi:10.1142/S021989161850011X

Details of Research Outputs

Status	已发表Published
Title	Heterogeneous stochastic scalar conservation laws with non-homogeneous dirichlet boundary conditions
Creator	Lv, Guangying 1,2; Wu, Jianglun3,4
Date Issued	2018-06-01
Source Publication	Journal of Hyperbolic Differential Equations
ISSN	0219-8916
Volume	15 Issue:2 Pages:291-328
Abstract	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.
Keyword	Entropy solution Itô's formula Scalar conservation law
DOI	10.1142/S021989161850011X
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Mathematics ; Physics
WOS Subject	Mathematics, Applied ; Physics, Mathematical
WOS ID	WOS:000437003600005
Scopus ID	2-s2.0-85049411484
Citation statistics	Cited Times:2[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/10505
Collection	Research outside affiliated institution
Corresponding Author	Lv, Guangying
Affiliation	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
Recommended Citation 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.

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