CV Lattes
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Universidade Federal de São Carlos (UFSCAR). Centro de Ciências Exatas e de Tecnologia (CCET) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Master's in physics from the University of São Paulo at São Carlos (1986), Ph.D. in physics from the University of California at Berkeley (1994) and habilitation from the University of São Paulo (2011). Research interests: differential delay equations and numerical methods for differential delay equations, variational methods and variational electrodynamics. Present interests in research are mainly in variational electrodynamics. (Source: Lattes Curriculum)
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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. Beside…
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 t…
In this project we will study the dynamics of the electromagnetic two-body problem as the leading topic, see (1). As a secondary topic we shall study Hamiltonian dynamics of one-dimensional oscillator chains, see (2) below. (1) The equations of motion of the electromagnetic two-body problem are nontrivial because of the self-interaction, the delay, and the presence of singular denominat…
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We shall study Wheeler-Feynman electrodynamics, in particular searching for continuous periodic orbits with discontinuous velocities. This is the usual solution expected of a neutral differential equation. We shall attempt to classify the orbits where the interaction is small and the solutions can be piecewise constant-velocity.
In this project I shall study the dynamics of the electromagnetic two-body problem numerically. The stay in Italy will greatly benefit the development of my project 2005/03046-5. As explained in the project, the equations of motion for this dynamical system are stiff delay equations that are highly non-trivial to integrate. I chose to spend some months to collaborate with specialists on t…
| 8 / 6 | Completed research grants |
| 4 / 2 | Completed scholarships in Brazil |
| 4 / 2 | Completed scholarships abroad |
| 16 / 10 | All research grants and scholarships |
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