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A classification of solitons for the surface diffusion flow of entire graphs

Differential Geometry 2025-05-07 v5 Analysis of PDEs

Abstract

In this article we classify solitons (equilibria, self-similar solutions and travelling waves) for the surface diffusion flow of entire graphs of function over the real line.

Cite

@article{arxiv.2407.13250,
  title  = {A classification of solitons for the surface diffusion flow of entire graphs},
  author = {Piotr Rybka and Glen Wheeler},
  journal= {arXiv preprint arXiv:2407.13250},
  year   = {2025}
}

Comments

15 pages