• k-cosymplectic formalism in classical field theory: the Skinner–Rusk approach 

      Rey, Angel M.; Román Roy, Narciso; Salgado, Modesto (2006-02-14)
      Article
      Accés obert
      The k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular they are stated for singular almost-regular systems. After that, both formalisms are unified ...
    • Multicontact formulation for non-conservative field theories 

      de León Rodríguez, Manuel; Gaset Rifà, Jordi; Muñoz Lecanda, Miguel Carlos; Rivas Guijarro, Xavier; Román Roy, Narciso (Institute of Physics (IOP), 2023-01-13)
      Article
      Accés obert
      A new geometric structure inspired by multisymplectic and contact geometries, which we call multicontact structure, is developed to describe non-conservative classical field theories. Using the differential forms that ...
    • Skinner–Rusk formalism for k-contact systems 

      Gràcia Sabaté, Francesc Xavier; Rivas Guijarro, Xavier; Román Roy, Narciso (2022-02-01)
      Article
      Accés obert
      In previous papers, a geometric framework has been developed to describe non-conservative field theories as a kind of modified Lagrangian and Hamiltonian field theories. This approach is that of k-contact Hamiltonian ...
    • The second-order problem for singular Lagrangian field theories in the k-presymplectic formulation 

      Adame Carrillo, David (Universitat Politècnica de Catalunya, 2020-10)
      Projecte Final de Màster Oficial
      Accés restringit per decisió de l'autor
      In general, the system of 2nd-order partial differential equations given by the Euler--Lagrange equations of classical field theories are not compatible for singular Lagrangians. This is the so-called second-order problem. ...