 ##  [Curve Shortening Flow](/index.php/curve-shortening-flow) 

  ##  [Curve Shortening Flow](https://puremath.quantumdictionary.io/curve-shortening-flow-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The one-dimensional instance of mean curvature flow for embedded planar curves in which each point moves in the inward normal direction at speed equal to the scalar curvature (signed curvature), causing length decrease and often convexification; commonly abbreviated CSF.