Variational electrodynamics

• Grant number: 11/18343-6
• Support Opportunities: Regular Research Grants
• Start date: December 01, 2011
• End date: November 30, 2013
• Field of knowledge: Physical Sciences and Mathematics - Physics - Physics of Fluids, Plasma Physics and Electrical Discharge
• 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
• City of the host institution: São Carlos

Abstract

We shall study the electromagnetic two-body problem with a variational principle. The variational principle completes and generalizes Wheeler-Feynman electrodynamics by incorporating trajectories with discontinuous velocities, necessary for the variational boundary-value problem to have a solution with arbitrary boundary data. The generalization is also necessary physically, to describe two-body orbits with vanishing far-fields defined almost everywhere. We shall study the complex physical dynamics involving equations of motion defined piecewise plus the continuity of a long-range current involving the vector potential of the other charges. (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. Equations of motion for variational electrodynamics. Journal of Differential Equations, v. 260, n. 7, p. 5816-5833, APR 5 2016. (11/18343-6)

DE SOUZA, DANIEL CAMARA; DE LUCA, JAYME. Solutions of the Wheeler-Feynman equations with discontinuous velocities. Chaos, v. 25, n. 1, JAN 2015. (11/18343-6, 10/16964-0)