On a stochastic nonlocal conservation law in a bounded domain

Lv, Guangying; Duan, Jinqiao; Gao, Hongjun; Wu, Jiang-lun

doi:10.1016/j.bulsci.2016.03.003

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On a stochastic nonlocal conservation law in a bounded domain

Guangying Lv, Jinqiao Duan, Hongjun Gao, Jiang-lun Wu

Bulletin des Sciences Mathématiques, Volume: 140, Issue: 6, Pages: 718 - 746

Swansea University Author: Jiang-lun Wu

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DOI (Published version): 10.1016/j.bulsci.2016.03.003

Abstract

In this paper, we are concerned with the Dirichlet boundary value problem for a multi-dimensional nonlocal conservation law involving a multiplicative stochastic perturbation in a bounded domain. Using the concept of measure-valued solutions and Kruzhkov’s semi-entropy formulations, we establish the...

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Published in:	Bulletin des Sciences Mathématiques
ISSN:	00074497
Published:	2016
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa27001

first_indexed	2016-04-01T01:04:31Z
last_indexed	2019-08-14T04:17:56Z
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spelling	2019-08-12T13:49:18.8810086 v2 27001 2016-03-31 On a stochastic nonlocal conservation law in a bounded domain dbd67e30d59b0f32592b15b5705af885 Jiang-lun Wu Jiang-lun Wu true false 2016-03-31 In this paper, we are concerned with the Dirichlet boundary value problem for a multi-dimensional nonlocal conservation law involving a multiplicative stochastic perturbation in a bounded domain. Using the concept of measure-valued solutions and Kruzhkov’s semi-entropy formulations, we establish the existence and uniqueness of entropy solution to the boundary value problem. Journal Article Bulletin des Sciences Mathématiques 140 6 718 746 00074497 Anomalous diffusion; Ito’s formula; Stochastic Burgers equation; Conservation laws. 30 9 2016 2016-09-30 10.1016/j.bulsci.2016.03.003 COLLEGE NANME COLLEGE CODE Swansea University 2019-08-12T13:49:18.8810086 2016-03-31T15:20:50.3773405 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Guangying Lv 1 Jinqiao Duan 2 Hongjun Gao 3 Jiang-lun Wu 4 0027001-31032016152113.pdf 1-s2.0-S0007449716300288-main.pdf 2016-03-31T15:21:13.4400000 Output 369683 application/pdf Accepted Manuscript true 2017-03-10T00:00:00.0000000 © 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ true
title	On a stochastic nonlocal conservation law in a bounded domain
spellingShingle	On a stochastic nonlocal conservation law in a bounded domain Jiang-lun Wu
title_short	On a stochastic nonlocal conservation law in a bounded domain
title_full	On a stochastic nonlocal conservation law in a bounded domain
title_fullStr	On a stochastic nonlocal conservation law in a bounded domain
title_full_unstemmed	On a stochastic nonlocal conservation law in a bounded domain
title_sort	On a stochastic nonlocal conservation law in a bounded domain
author_id_str_mv	dbd67e30d59b0f32592b15b5705af885
author_id_fullname_str_mv	dbd67e30d59b0f32592b15b5705af885_***_Jiang-lun Wu
author	Jiang-lun Wu
author2	Guangying Lv Jinqiao Duan Hongjun Gao Jiang-lun Wu
format	Journal article
container_title	Bulletin des Sciences Mathématiques
container_volume	140
container_issue	6
container_start_page	718
publishDate	2016
institution	Swansea University
issn	00074497
doi_str_mv	10.1016/j.bulsci.2016.03.003
college_str	Faculty of Science and Engineering
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hierarchy_top_id	facultyofscienceandengineering
hierarchy_top_title	Faculty of Science and Engineering
hierarchy_parent_id	facultyofscienceandengineering
hierarchy_parent_title	Faculty of Science and Engineering
department_str	School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
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description	In this paper, we are concerned with the Dirichlet boundary value problem for a multi-dimensional nonlocal conservation law involving a multiplicative stochastic perturbation in a bounded domain. Using the concept of measure-valued solutions and Kruzhkov’s semi-entropy formulations, we establish the existence and uniqueness of entropy solution to the boundary value problem.
published_date	2016-09-30T18:53:23Z
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score	11.04748

On a stochastic nonlocal conservation law in a bounded domain

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