4.6 Article

Symmetric mean curvature flow on the n-sphere

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PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2023.113437

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Mean curvature flow; Allen-Cahn equation; Phase transitions

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In this article, the authors generalize their previous results to higher dimensions and prove the existence of eternal weak mean root 1 root-1 curvature flows connecting a Clifford hypersurface to the equatorial spheres.
In this article, we generalize our previous results (Chen and Gaspar, 2023) joint with Pedro Gaspar to higher dimensions, prove the existence of (infinitely many) eternal weak mean root 1 root-1 curvature flows in +1 (for all >= 2) connecting a Clifford hypersurface 1( ) x -1( ) to the equatorial spheres. Sn

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