891 citations · 2.9k across the 74 of their papers we have counts for
15 papers · 1 filter
Cohomological obstructions in locally variational field theories
M. Francaviglia, M. Palese, E. Winterroth
We study cohomological obstructions to the existence of global conserved quantities. In particular, we show that, if a given local variational problem is supposed to admit global s…
Fluids in Weyl Geometries
L. Fatibene, M. Francaviglia
We shall investigate the consequences of non-trivial Weyl geometries on conservation laws of a fluid. In particular we shall obtain a set of properties which allow to obtain in thi…
About Boundary Terms in Higher Order Theories
L. Fatibene, M. Francaviglia, S. Mercadante
It is shown that when in a higher order variational principle one fixes fields at the boundary leaving the field derivatives unconstrained, then the variational principle (in parti…
General theory of Lie derivatives for Lorentz tensors
L. Fatibene, M. Francaviglia
We show how the ad hoc prescriptions appeared in 2001 by Ortin for the Lie derivative of Lorentz tensors are a direct consequence of the Kosmann lift defined earlier in 1996 in a m…
Chetaev vs. vakonomic prescriptions in constrained field theories with parametrized variational calculus
Enrico Bibbona, Lorenzo Fatibene, Mauro Francaviglia
Starting from a characterization of admissible Cheataev and vakonomic variations in a field theory with constraints we show how the so called parametrized variational calculus can…
On the Variational Characterisation of Generalized Jacobi Equations
Biagio Casciaro, Mauro Francaviglia, Victor Tapia
We study higher--order variational derivatives of a generic second--order Lagrangian and in this context we discuss the Jacobi equati…