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Hyperbolic inverse mean curvature flow with forced term: evolution of plane curves
  • Ran Ding,
  • Zenggui Wang
Ran Ding
Liao Cheng University

Corresponding Author:[email protected]

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Zenggui Wang
Liao Cheng University
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The motion of plane curves specified by hyperbolic inverse mean curvature with a constant force term is considered. We proved that this flow remains the convexity for any forced term. Furthermore, we give an example to understand how the constant forced term $c$ affects this hyperbolic inverse mean flow. Particularly, the asymptotic behavior of the flow under different initial conditions is discussed.
13 Feb 2022Submitted to Mathematical Methods in the Applied Sciences
14 Feb 2022Submission Checks Completed
14 Feb 2022Assigned to Editor
27 Feb 2022Reviewer(s) Assigned
21 Jun 2022Review(s) Completed, Editorial Evaluation Pending
18 Aug 2022Editorial Decision: Revise Major
12 Sep 20221st Revision Received
13 Sep 2022Submission Checks Completed
13 Sep 2022Assigned to Editor
23 Sep 2022Reviewer(s) Assigned
08 Nov 2022Review(s) Completed, Editorial Evaluation Pending
20 Nov 2022Editorial Decision: Accept