20 citations · 59 across the 6 of their papers we have counts for
19 papers
Symmetries, conservation and dissipation in time-dependent contact systems
Jordi Gaset, Asier López-Gordón, Xavier Rivas
In contact Hamiltonian systems, the so-called dissipated quantities are akin to conserved quantities in classical Hamiltonian systems. In this paper, we prove a Noether's theorem f…
The Herglotz variational principle for dissipative field theories
Jordi Gaset, Manuel Lainz, Arnau Mas +1
In the recent years, with the incorporation of contact geometry, there has been a renewed interest in the study of dissipative or non-conservative systems in physics and other area…
Multicontact formulation for non-conservative field theories
Manuel de León, Jordi Gaset, Miguel Carlos Muñoz-Lecanda +2
A new geometric framework is developed to describe non-conservative classical field theories, which is based on multisymplectic and contact geometries. Assuming certain additional…
A variational derivation of the field equations of an action-dependent Einstein-Hilbert Lagrangian
Jordi Gaset, Arnau Mas
We derive the equations of motion of an action-dependent version of the Einstein-Hilbert Lagrangian, as a specific instance of the Herglotz variational problem. Action-dependent La…
Time-dependent contact mechanics
Manuel de León, Jordi Gaset, Xavier Gràcia +2
Contact geometry allows to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order to describe time-dependent contact sys…
Inverse problem and equivalent contact systems
Manuel de León, Jordi Gaset, Manuel Lainz Valcázar
We present several results on the inverse problem and equivalent contactLagrangian systems. These problems naturally lead to consider smooth transformations on the z variable (i.e.…