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A minimising movement scheme for the p-elastic energy of curves

We prove short-time existence for the negative [Formula: see text] -gradient flow of the p-elastic energy of curves via a minimising movement scheme. In order to account for the degeneracy caused by the energy’s invariance under curve reparametrisations, we write the evolving curves as approximate n...

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Detalles Bibliográficos
Autores principales: Blatt, Simon, Hopper, Christopher P., Vorderobermeier, Nicole
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9046362/
https://www.ncbi.nlm.nih.gov/pubmed/35535234
http://dx.doi.org/10.1007/s00028-022-00791-w