On the minimal action function of autonomous Lagrangians associated to magnetic fields
type: Item
instance of: scholarly article
title: On the minimal action function of autonomous Lagrangians associated to magnetic fields
zbMATH Open document ID: 0949.37033
DOI: 10.1016/S0294-1449(00)88183-4
author: Mário Jorge Dias Carneiro
author: A. O. Lopes
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 2000-12-10T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78479
review text: The authors study a special Lagrangian on the two-dimensional torus with two degrees of freedom and periodic in each spatial coordinate. There exists a nontrivial magnetic potential vector but there is no electrostatic potential. This model appears in phenomena related to the Hall effect. The dynamical properties of the Euler-Lagrange field generated by the Lagrangian associated to a magnetic field is studied. The structure of Mather sets, that is, sets that are supports of minimizing measures for the corresponding autonomous Lagrangian, is investigated.
Mathematics Subject Classification ID: 37J05
Mathematics Subject Classification ID: 37J45
zbMATH DE Number: 1394702
zbMATH Keywords: Hall effect
zbMATH Keywords: Lagrangian systems
zbMATH Keywords: two-dimensional theories
MaRDI profile type: Publication
cites work: On minimizing measures of the action of autonomous Lagrangians
cites work: On the minimizing measures of Lagrangian dynamical systems
cites work: Generic properties and problems of minimizing measures of Lagrangian systems
OpenAlex ID: W2058762398
description: scientific article; zbMATH DE number 1394702