Journal article 1237 views 147 downloads
On a stochastic nonlocal conservation law in a bounded domain
Bulletin des Sciences Mathématiques, Volume: 140, Issue: 6, Pages: 718 - 746
Swansea University Author:
Jiang-lun Wu
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PDF | Accepted Manuscript
© 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/
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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...
Published in: | Bulletin des Sciences Mathématiques |
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ISSN: | 00074497 |
Published: |
2016
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Online Access: |
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URI: | https://cronfa.swan.ac.uk/Record/cronfa27001 |
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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. |
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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 |