Lower bounds for the energy of unit vector fields and applications (Q1381530)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Lower bounds for the energy of unit vector fields and applications |
scientific article; zbMATH DE number 1130451
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lower bounds for the energy of unit vector fields and applications |
scientific article; zbMATH DE number 1130451 |
Statements
Lower bounds for the energy of unit vector fields and applications (English)
0 references
9 March 1999
0 references
The author gives a lower bound for the Dirichlet energy of a unit vector field defined in a perforated domain of \(\mathbb{R}^2\) with nonzero degree on the outer boundary in terms of the total diameter of the holes. Using this, the author also gives lower bounds and compactness results for Ginzburg-Laudau functionals.
0 references
energy estimate
0 references
Dirichlet energy
0 references
Ginzburg-Laudau functional
0 references
0 references
0.90516335
0 references
0 references
0 references
0.89981675
0 references
0.8996855
0 references
0.8944416
0 references
0.89061266
0 references
0 references
