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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
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 existence and uniqueness of entropy solution to the boundary value problem.
Keywords: Anomalous diffusion; Ito’s formula; Stochastic Burgers equation; Conservation laws.
College: Faculty of Science and Engineering
Issue: 6
Start Page: 718
End Page: 746

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