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Averaging principle for 1D stochastic Landau-Lifshitz-Bloch equation

Xiuwei Yin, Guangjun Shen, Jiang-lun Wu Orcid Logo

Chinese Quarterly Journal on Pure and Applied Mathematics, Volume: 38, Issue: 3, Pages: 380 - 391

Swansea University Author: Jiang-lun Wu Orcid Logo

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DOI (Published version): 10.3969/j.issn.1008-5513.2022.03.007

Abstract

In this paper, we study the strong averaging principle for 1D stochastic Landau-LifshitzBloch equation (SLLBE). The averaging principle is an effective method for studying the qualitativeanalysis of nonlinear dynamical systems. Under some assumptions, utilising Khasminkii′s time discretisation appro...

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Published in: Chinese Quarterly Journal on Pure and Applied Mathematics
ISSN: 1008-5513
Published: Xi'an, China Northwest University Press 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa61371
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spelling 2023-01-11T14:48:49.5992898 v2 61371 2022-09-28 Averaging principle for 1D stochastic Landau-Lifshitz-Bloch equation dbd67e30d59b0f32592b15b5705af885 0000-0003-4568-7013 Jiang-lun Wu Jiang-lun Wu true false 2022-09-28 SMA In this paper, we study the strong averaging principle for 1D stochastic Landau-LifshitzBloch equation (SLLBE). The averaging principle is an effective method for studying the qualitativeanalysis of nonlinear dynamical systems. Under some assumptions, utilising Khasminkii′s time discretisation approach, we show the solution of SLLBE can be approximated by the solutions to averaged stochastic systems in the sense of mean square. Journal Article Chinese Quarterly Journal on Pure and Applied Mathematics 38 3 380 391 Northwest University Press Xi'an, China 1008-5513 stochastic Landau-Lifshitz-Bloch equation, averaging principle, strong convergence. 25 9 2022 2022-09-25 10.3969/j.issn.1008-5513.2022.03.007 Published in Chinese with English title and abstract. COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University Other NSF of China and NSF of Anhui Province 11901005, 12071003; 2008085QA20. 2023-01-11T14:48:49.5992898 2022-09-28T10:29:39.6641940 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Xiuwei Yin 1 Guangjun Shen 2 Jiang-lun Wu 0000-0003-4568-7013 3 61371__25247__9af002d935364077b8b89d7ddf0c50dc.pdf Averaging principle for 1D stochastic Landau-Lifshitz-Bloch equation.pdf 2022-09-28T10:51:52.6943726 Output 175043 application/pdf Proof true false chi
title Averaging principle for 1D stochastic Landau-Lifshitz-Bloch equation
spellingShingle Averaging principle for 1D stochastic Landau-Lifshitz-Bloch equation
Jiang-lun Wu
title_short Averaging principle for 1D stochastic Landau-Lifshitz-Bloch equation
title_full Averaging principle for 1D stochastic Landau-Lifshitz-Bloch equation
title_fullStr Averaging principle for 1D stochastic Landau-Lifshitz-Bloch equation
title_full_unstemmed Averaging principle for 1D stochastic Landau-Lifshitz-Bloch equation
title_sort Averaging principle for 1D stochastic Landau-Lifshitz-Bloch equation
author_id_str_mv dbd67e30d59b0f32592b15b5705af885
author_id_fullname_str_mv dbd67e30d59b0f32592b15b5705af885_***_Jiang-lun Wu
author Jiang-lun Wu
author2 Xiuwei Yin
Guangjun Shen
Jiang-lun Wu
format Journal article
container_title Chinese Quarterly Journal on Pure and Applied Mathematics
container_volume 38
container_issue 3
container_start_page 380
publishDate 2022
institution Swansea University
issn 1008-5513
doi_str_mv 10.3969/j.issn.1008-5513.2022.03.007
publisher Northwest University Press
college_str Faculty of Science and Engineering
hierarchytype
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
document_store_str 1
active_str 0
description In this paper, we study the strong averaging principle for 1D stochastic Landau-LifshitzBloch equation (SLLBE). The averaging principle is an effective method for studying the qualitativeanalysis of nonlinear dynamical systems. Under some assumptions, utilising Khasminkii′s time discretisation approach, we show the solution of SLLBE can be approximated by the solutions to averaged stochastic systems in the sense of mean square.
published_date 2022-09-25T04:20:11Z
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score 11.035634

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