A classification of solitons for the surface diffusion flow of entire graphs
Piotr Rybka, Glen Wheeler
TL;DR
This paper classifies various special solutions such as equilibria, self-similar solutions, and traveling waves for the surface diffusion flow of entire graphs over the real line.
Contribution
It provides a comprehensive classification of solitons for the surface diffusion flow in the context of entire graphs, a topic not fully explored before.
Findings
Classification of solitons for the surface diffusion flow.
Identification of equilibria, self-similar solutions, and traveling waves.
Framework for analyzing surface diffusion flow of entire graphs.
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.
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Taxonomy
Topicsadvanced mathematical theories · Mathematical Dynamics and Fractals · Stochastic processes and statistical mechanics