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Averaging principle for 1D stochastic Landau-Lifshitz-Bloch equation
Xiuwei Yin,
Guangjun Shen,
Jiang-lun Wu 
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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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa61371 |
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| 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 approach, we show the solution of SLLBE can be approximated by the solutions to averaged stochastic systems in the sense of mean square. |
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| Item Description: |
Published in Chinese with English title and abstract. |
| Keywords: |
stochastic Landau-Lifshitz-Bloch equation, averaging principle, strong convergence. |
| College: |
Faculty of Science and Engineering |
| Funders: |
NSF of China and NSF of Anhui Province |
| Issue: |
3 |
| Start Page: |
380 |
| End Page: |
391 |