xavi

Xavier Rivas

Escuela Superior en Ingeniería y Tecnología, Universidad Internacional de La Rioja

e-mail
xavier.rivas(at)upc.edu
xavier.rivas(at)unir.net
web page
web.mat.upc.edu/xavier.rivas
xavirivas.com
ORCID code
Other links
arxiv.org
ResearchGate
Google Scholar
ResearcherID
MathSciNet
Zotero

■ Research

I develop my research in differential geometry and its applications to mathematical physics, mechanics and field theory. I am part of the GEOMVAP group. We collaborate with other groups, in particular with those in the Geometry, Mechanics and Control Network.

My PhD advisors were Narciso Román-Roy and Xavier Gràcia Sabaté. You can find my thesis here.

List of publications:
  1. X. Rivas and D. Torres
    "Lagrangian–Hamiltonian formalism for time-dependent dissipative mechanical systems"
    Preprint. arXiv:2205.14757
  2. M. de León, J. Gaset, X. Gràcia, M. C. Muñoz-Lecanda and X. Rivas
    "Time-dependent contact mechanics"
    Preprint. arXiv:2205.09454
  3. J. de Lucas, X. Gràcia, X. Rivas, N. Román-Roy and S. Vilariño
    "Reduction and reconstruction of multisymplectic Lie systems"
    J. Phys. A: Math. Theor. 55(29):295204, 2022.
    arXiv:2202.13748 doi: 10.1088/1751-8121/ac78ab
  4. X. Gràcia, X. Rivas and N. Román-Roy
    "Skinner–Rusk formalism for k-contact systems"
    J. Geom. Phys. 172:104429, 2022.
    arXiv:2109.07257 doi: 10.1016/j.geomphys.2021.104429
  5. M. de León, J. Gaset, M. Lainz-Valcázar, X. Rivas and N. Román-Roy
    "Unified Lagrangian-Hamiltonian formalism for contact systems"
    Fortschritte der Phys. 68 (8):2000045, 2020.
    arXiv:2003.13037 doi: 10.1002/prop.202000045
  6. J. Gaset, X. Gràcia, M. C. Muñoz-Lecanda, X. Rivas and N. Román-Roy
    "A k-contact Lagrangian formalism for field theories with dissipation"
    Rep. Math. Phys., 87 (3):347-368, 2021.
    arXiv:2002.10458 doi: 10.1016/S0034-4877(21)00041-0
  7. J. Gaset, X. Gràcia, M. C. Muñoz-Lecanda, X. Rivas and N. Román-Roy
    "New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries"
    Int. J. Geom. Methods Mod. Phys., 17 (6):2050090, 2020.
    arXiv:1907.02947, doi: 10.1142/S0219887820500905
  8. J. Gaset, X. Gràcia, M. C. Muñoz-Lecanda, X. Rivas and N. Román-Roy
    "A contact geometry framework for field theories with dissipation"
    Ann. Phys., 414:168090, 2020.
    arXiv:1905.07354, doi: 10.1016/j.aop.2020.168092
  9. X. Gràcia, X. Rivas and N. Román-Roy
    "Constraint algorithm for singular field theories in the k-cosymplectic framework"
    J. Geom. Mech., 12 (1):1-23, 2020.
    arXiv:1812.08487, doi: 10.3934/jgm.2020002
Collaborators:

Some of the colleagues I have collaborated with are:

■ Teaching

Geometría Diferencial Aplicada. Máster Universitario en Ingeniería Matemática y Computación:

Universidad Internacional de La Rioja. UNIR. Programación.

Old courses