4 papers · 1 filter
The evolution operator connecting the Lagrangian and Hamiltonian formalisms for contact systems
Xavier Grà cia, Ãngel MartÃnez-Muñoz, Xavier Rivas +1
Some mechanical systems with dissipation can be described within the framework of the so-called contact mechanics: a modified form of the Euler-Lagrange equations stemming from Her…
Skinner--Rusk formalism of action-dependent multicontact field theories
Xavier Rivas, Narciso Román-Roy, Annamaria Villanova
The newly developed multicontact structure, based on contact and multisymplectic geometries, provides a very general geometrical framework suitable for the treatment of action-depe…
A survey on geometric frameworks for action-dependent classical field theories and their relationship
Jordi Gaset-RifÃ, Xavier Rivas, Narciso Román-Roy
This work presents a comprehensive overview of three recently developed geometric frameworks for the study of classical action-dependent field theories. Specifically, the three und…
Symmetries and Noether's theorem for multicontact field theories
Xavier Rivas, Narciso Román-Roy, Bartosz M. Zawora
A geometric framework, called multicontact geometry, has recently been developed to study action-dependent field theories. In this work, we use this framework to analyze symmetries…