Life-time of minimal tubes and coefficients of univalent functions in a circular ring
Vladimir G. Tkachev
TL;DR
This paper investigates the lifespan of minimal tubes in three-dimensional space using potential theory, providing new estimates for their stability and duration.
Contribution
It introduces novel potential theory techniques to estimate the life-time of minimal tubes, advancing understanding in geometric analysis.
Findings
Derived new bounds for minimal tube life-time
Applied potential theory to geometric stability problems
Enhanced theoretical understanding of minimal surface behavior
Abstract
We obtain various estimates of the life-time of two-dimensional minimal tubes in R^3 by potential theory methods.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations · Spectral Theory in Mathematical Physics