Martingale weak solutions of the stochastic Landau-Lifshitz-Bloch equation
Martingale weak solutions of the stochastic Landau-Lifshitz-Bloch equation
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随机 Landau-Lifshitz-Bloch 方程的 Martingale 弱解
DOI：
10.1016/j.jde.2018.08.038
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发表时间：
2019
影响因子：
2.4
通讯作者：
Huaqiao Wang
中科院分区：
文献类型：
--
作者：
Song Jiang;Qiangchang Ju;Huaqiao Wang
本文研究了随机Landau-Lifshitz-Bloch方程，该方程被推荐为居里温度附近唯一有效的模型，对热辅助磁记录的模拟特别重要。研究了温度高于居里温度时随机Landau-Lifshitz-Bloch方程的解。利用一个新的论证方法证明了鞅弱解的整体存在性，并讨论了弱解的正则性。
The present paper studies the stochastic Landau–Lifshitz–Bloch equation which is recommended as the only valid model at temperature around the Curie temperature and is especially important for the simulation of heat-assisted magnetic recording. We study the stochastic Landau–Lifshitz–Bloch equation in the case that the temperature is raised higher than the Curie temperature. The global existence of martingale weak solutions is proved by using a new argument and regularity properties of the weak solutions are discussed.