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Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.01.025
Abstract: Abstract In this work we study stochastic Landau–Lifshitz–Gilbert equations (SLLGEs) in one dimension, with non-zero exchange energy only. Firstly, by introducing a suitable transformation, we convert the SLLGEs to a highly nonlinear time dependent partial…
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Keywords:
landau lifshitz;
approximation;
gilbert equations;
stochastic landau ... See more keywords
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Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123384
Abstract: Abstract The stochastic Landau-Lifshitz-Gilbert equations (SLLGEs) describe the behaviour of the magnetisation under the influence of the randomly fluctuating effective field. In this work, we consider the SLLGEs in one space dimension in the presence…
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Keywords:
landau lifshitz;
gilbert equations;
stochastic landau;
anisotropy energy ... See more keywords