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Averaging principle for 1D stochastic Landau-Lifshitz-Bloch equation
Chinese Quarterly Journal on Pure and Applied Mathematics, Volume: 38, Issue: 3, Pages: 380 - 391
Swansea University Author:
Jiang-lun Wu
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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...
Published in: | Chinese Quarterly Journal on Pure and Applied Mathematics |
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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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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 |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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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 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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1763754336454705152 |
score |
11.021648 |