Functional- and numerical analysis of the electromagnetic two-body problem

• Grant number: 16/25895-9
• Support Opportunities: Regular Research Grants
• Start date: April 01, 2017
• End date: March 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Jayme Vicente de Luca Filho
• Grantee: Jayme Vicente de Luca Filho
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

We shall study the electromagnetic two-body problem by considering ALL minimizers to the action integral, thus incorporating trajectories with discontinuous velocities (henceforth broken minimizers). These broken minimizers are necessary both to solve the boundary-value problem with arbitrary boundary data AND to describe orbits with vanishing far-fields defined almost everywhere. Besides continuing the numerical study of orbits with discontinuous velocities, this project includes an extra focus on the generalisation of the action integral to a Stieltjes integral. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DE LUCA, JAYME. Chemical Principle and PDE of variational electrodynamics. Journal of Differential Equations, v. 268, n. 1, p. 272-300, DEC 15 2019. (16/25895-9)