Hyperbolic inverse mean curvature flow with forced term: Evolution of plane curves
Corresponding Author
Zenggui Wang
School of Mathematical Sciences, Liaocheng University, Liaocheng, China
Correspondence
Zenggui Wang, School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China.
Email: [email protected]
Communicated by: H. Yin
Search for more papers by this authorRan Ding
School of Mathematical Sciences, Liaocheng University, Liaocheng, China
Search for more papers by this authorCorresponding Author
Zenggui Wang
School of Mathematical Sciences, Liaocheng University, Liaocheng, China
Correspondence
Zenggui Wang, School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China.
Email: [email protected]
Communicated by: H. Yin
Search for more papers by this authorRan Ding
School of Mathematical Sciences, Liaocheng University, Liaocheng, China
Search for more papers by this authorAbstract
The motion of plane curves under hyperbolic inverse mean curvature with a constant force field is considered. The preserving convexity of the evolving curve under this flow is proved. Furthermore, we give an example to understand how the forced term affects the evolution of plane curves. Particularly, the asymptotic behavior of the flow is discussed.
CONFLICT OF INTEREST
The authors declare no potential conflict of interests.
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