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We study the evolution of closed inextensible planar curves under a second order flow that decreases the p -elastic energy. A short time existence result for $$p \in (1, \infty… Click to show full abstract
We study the evolution of closed inextensible planar curves under a second order flow that decreases the p -elastic energy. A short time existence result for $$p \in (1, \infty ) $$ p ∈ ( 1 , ∞ ) is obtained via a minimizing movements method. For $$p=2$$ p = 2 , that is in the case of the classic elastic energy, long-time existence is retrieved.
Keywords:
flow elastic;
elastic energy;
planar curves;
energy;
gradient flow
Journal Title: Mathematische Annalen
Year Published: 2019
Link to full text (if available)
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Journal Title: Mathematische Annalen
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!