与边界涡有关的薄膜区中具有Dzyaloshinskiii-Moriya相互作用的微磁能
The micromagnetic energy with Dzyaloshinskii-Moriya interaction in a thin-film regime relevant for boundary vortices
摘要：
我们考虑了三维微磁模型与Dzyaloshinskiii-Moriya相互作用的薄膜制度。我们证明了伽玛收敛的微磁能在所考虑的制度，其中伽玛极限能量是二维的和相关的边界涡。然后，我们研究了伽玛极限能量的局部极小，并证明了在一定的设置的唯一性结果。
英文摘要：
We consider the three-dimensional micromagnetic model with Dzyaloshinskii-Moriya interaction in a thin-film regime. We prove the Gamma-convergence of the micromagnetic energy in the considered regime, for which the Gamma-limit energy is two-dimensional and relevant for boundary vortices. We then study local minimizers of the Gamma-limit energy and prove a uniqueness result in a certain setting.
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