VARIATIONAL PRINCIPLES OF MICROMAGNETICS REVISITED
VARIATIONAL PRINCIPLES OF MICROMAGNETICS REVISITED
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DOI：
10.1137/19m1261365
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发表时间：
2020-01-01
影响因子：
2
通讯作者：
Slastikov, Valeriy V.
中科院分区：
文献类型：
--
作者：
Di Fratta, Giovanni;Muratov, Cyrill B.;Slastikov, Valeriy V.
我们重新审视与微磁能的最小化问题的基本变分公式，重点是杂散场对能量的贡献，这是本质上非局部的治疗。在极小化假设下，我们建立了三个不同的杂散场能量变分原理：一个涉及磁标势的极大极小原理和两个涉及磁矢势的极小化原理。然后，我们将我们的配方的任意形状的薄铁磁壳的降维问题。
We revisit the basic variational formulation of the minimization problem associated with the micromagnetic energy, with an emphasis on the treatment of the stray field contribution to the energy, which is intrinsically nonlocal. Under minimal assumptions, we establish three distinct variational principles for the stray field energy: a minimax principle involving magnetic scalar potential and two minimization principles involving magnetic vector potential. We then apply our formulations to the dimension reduction problem for thin ferromagnetic shells of arbitrary shapes.