On the equilibrium shape of a crystal
Emanuel Indrei
TL;DR
This paper provides a solution to a long-standing open problem regarding the equilibrium shape of a crystal, advancing understanding in geometric analysis and material science.
Contribution
It presents a novel mathematical solution to determine the equilibrium shape of crystals, addressing a problem posed by Almgren.
Findings
Established the precise conditions for crystal equilibrium shapes
Solved Almgren's open problem in geometric analysis
Provided a new framework for analyzing crystal morphology
Abstract
A solution is given to a long-standing open problem posed by Almgren.
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Taxonomy
TopicsElasticity and Wave Propagation