On a sharp Poincare-type inequality on the 2-sphere and its application in micromagnetics

The main aim of this note is to prove a sharp Poincaré-type inequality for vector-valued functions on $\mathbb{S}^2$ that naturally emerges in the context of micromagnetics of spherical thin films.

Detalles Bibliográficos
Autores: Fratta, G.D.I., Slastikov, V., Zarnescu, A.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/1126
Acceso en línea:http://hdl.handle.net/20.500.11824/1126
Access Level:acceso embargado
Palabra clave:Poincaré inequality, vector spherical harmonics, magnetic skyrmions
Descripción
Sumario:The main aim of this note is to prove a sharp Poincaré-type inequality for vector-valued functions on $\mathbb{S}^2$ that naturally emerges in the context of micromagnetics of spherical thin films.