Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Xavier Rivas"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 27998-28043 (2024)
By using the theory of analytic vectors and manifolds modeled on normed spaces, we provide a rigorous symplectic differential geometric approach to $ t $-dependent Schrödinger equations on separable (possibly infinite-dimensional) Hilbert spaces det
Externí odkaz:
https://doaj.org/article/63ad01f6bfbd4d46b8ed979d5d950eda
Autor:
Guijarro, Xavier Rivas
Many important theories in modern physics can be stated using differential geometry. Symplectic geometry is the natural framework to deal with autonomous Hamiltonian mechanics. This admits several generalizations for nonautonomous systems, both regul
Externí odkaz:
http://arxiv.org/abs/2204.11537
Autor:
José Miguel Aceves-Ayala, Allan Josué Noriega-Velásquez, Alberto Briceño-Fuentes, Cesar Alberto Ortiz-Orozco, Pablo Francisco Rojas-Solís, Pedro Xavier Rivas-Quezada, Carlos Alfredo Bautista-López
Publikováno v:
The Surgery Journal, Vol 09, Iss 03, Pp e92-e96 (2023)
Duodenal injuries are rare and difficult to diagnose, with an incidence between 1 and 5% in cases of abdominal trauma. We present the case of a 30-year-old man who suffered a motorcycle collision presented with a 24-hour history of abdominal pain, pe
Externí odkaz:
https://doaj.org/article/3e4ec350fe774671af5f3a84cc5420af
Autor:
Xavier Rivas, Daniel Torres
Publikováno v:
Journal of Geometric Mechanics. 15:1-26
In this paper we present a unified Lagrangian–Hamiltonian geometric formalism to describe time-dependent contact mechanical systems, based on the one first introduced by K. Kamimura and later formalized by R. Skinner and R. Rusk. This formalism is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::343b1eac4bf726e98a728702f0139503
https://doi.org/10.3934/jgm.2023001
https://doi.org/10.3934/jgm.2023001
Autor:
Xavier Rivas
This paper provides a new geometric framework to describe non-conservative field theories with explicit dependence on the space-time coordinates by combining the k-cosymplectic and k-contact formulations. This geometric framework, the k-cocontact geo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::402e767e56e53083ba9068e4aa3c12a8
http://arxiv.org/abs/2210.09166
http://arxiv.org/abs/2210.09166
In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent and independent. In order to do so, we construct a Hamilton--Jacobi theory for these systems following two approaches, obtaining two different Hamilton--Jac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c2e3c096a826066d6a9d6d5964aa7f2
http://arxiv.org/abs/2208.07436
http://arxiv.org/abs/2208.07436
Publikováno v:
Journal of Geometric Mechanics. 12:1-23
The aim of this paper is to develop a constraint algorithm for singular classical field theories in the framework of \begin{document}$ k $\end{document} -cosymplectic geometry. Since these field theories are singular, we need to introduce the notion
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c51862f2db0d0e9a087c07a254316970
https://doi.org/10.3934/jgm.2020002
https://doi.org/10.3934/jgm.2020002
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Universitat Politècnica de Catalunya (UPC)
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 systems, which is based on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99e99158ad2fb0d5b9e306025b125214
https://hdl.handle.net/2117/365716
https://hdl.handle.net/2117/365716
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 for non-autonomous contact Hamiltonian systems, characterizing a class
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0e3c16b401158f35fa9a8be63de81c5
A new geometric framework is developed to describe non-conservative classical field theories, which is based on multisymplectic and contact geometries. Assuming certain additional conditions and using the forms that define this multicontact structure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97651bd80a9abd7c4f07421a1545c8de