Hyperbolic curve flows in the plane

Journal of Inequalities and Applications

Zhe Zhou¹  Chuan-Xi Wu¹  Jing Mao¹ 

[1] Faculty of Mathematics and Statistics, Key Laboratory of Applied Mathematics of Hubei Province, Hubei University;

关键词: Hyperbolic partial differential equations;    Curve flows;    Short-time existence;    Convergence;   

DOI  :  10.1186/s13660-019-2005-y

来源: DOAJ

【 摘 要 】

Abstract In this paper, we investigate the evolution of a strictly convex closed planar curve driven by a hyperbolic normal flow. The asymptotical behavior of the evolving curves has also been shown if the velocity of the initial curve is nonnegative.

【 授权许可】

Unknown