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. M. de León, J. Gaset, M. C. Muñoz-Lecanda, X. Rivas and N. Román-Roy, "Multicontact formulation for non-conservative field theories". Preprint. arXiv:2209.08918
  2. M. de León, M. Lainz, A. López-Gordón and X. Rivas, "Hamilton–Jacobi theory for contact systems: autonomous and non-autonomous". Preprint. arXiv:2208.07436
  3. J. de Lucas and X. Rivas, "Contact Lie systems". Preprint. arXiv:2207.04038
  4. X. Rivas and D. Torres, "Lagrangian–Hamiltonian formalism for time-dependent dissipative mechanical systems". J. Geom. Mech.(to appear) arXiv:2205.14757
  5. M. de León, J. Gaset, X. Gràcia, M. C. Muñoz-Lecanda and X. Rivas, "Time-dependent contact mechanics". Monatsh. Math., 2022. arXiv:2205.09454 doi: 10.1007/s00605-022-01767-1
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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

Cálculo en varias variables. Grado en Matemática Computacional

Universidad Internacional de La Rioja. UNIR. Programación.

Análisis complejo. Grado en Matemática Computacional

Universidad Internacional de La Rioja. UNIR.

Ecuaciones diferenciales. Grado en Física

Universidad Internacional de La Rioja. UNIR. Programación.

Old courses