In this paper, we prove that 2 dimensional transversal small perturbations of d-dimensional Euclidean planes under the skew mean curvature flow lead to global solutions which converge to the unperturbed planes in suitable norms. And we clarify the long time behaviors of the solutions in Sobolev spaces.

中文翻译：

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斜平均曲率流演化下欧氏平面的整体横向稳定性

在本文中，我们证明了在倾斜平均曲率流下的二维维欧几里得平面的横向小扰动导致整体解收敛到合适范数下的扰动平面。并且我们阐明了Sobolev空间中解的长时间行为。