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学术报告: Ergodicity for the stochastic Landau-Lifshitz-Bloch

报告题目: Ergodicity for the stochastic Landau-Lifshitz-Bloch equation

报告人:王华侨 博士,北京应用物理与计算数学研究所

摘要: The stochastic Landau-Lifshitz-Bloch equation is recommended as the only valid model at temperature around the Curie temperature and is especially important for simulation of heat-assisted magnetic recording. We study the stochastic Landau-Lifshitz-Bloch equation in case the temperature

is raised higher than the Curie temperature. We first show the existence of invariant measures for the Feller semigroup in bounded interval by using the Krylov-Bogoliubov method. Moreover, in the case of degenerated additive noise, we prove the uniqueness of invariant measures for the corresponding transition semigroup by using the notion of asymptotic strong Feller property.

时间:2018.5.31日  15:30-16:30

地点:逸夫楼1115

报告邀请人:胡玉玺