Global transversal stability of Euclidean planes under skew mean curvature flow evolutions

Ze Li

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arXiv · 2007.07007

Global transversal stability of Euclidean planes under skew mean curvature flow evolutions

Ze Li

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Abstract

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.

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Ze Li. 2020-07-14. Global transversal stability of Euclidean planes under skew mean curvature flow evolutions. https://arxiv.org/abs/2007.07007

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