Energy and volume of vector fields on spherical domains
Fabiano G. B. Brito, Andr\'e Gomes, Giovanni S. Nunes
TL;DR
This paper introduces a boundary version of theorems concerning the minimality of volume and energy functionals for vector fields on spherical domains in three-dimensional Euclidean space.
Contribution
It extends existing theorems by incorporating boundary conditions for minimality of volume and energy functionals on spherical domains.
Findings
Established boundary versions of minimality theorems
Applied results to vector fields on 3D spheres
Provided new insights into energy and volume optimization
Abstract
We present in this paper a \boundary version" for theorems about minimality of volume and energy functionals on a spherical domain of threedimensional Euclidean sphere.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Geometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations