Articles de revista: Enviaments recents
Ara es mostren els items 13-24 de 183
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Universality of Euler flows and flexibility of Reeb embeddings
(Elsevier, 2023-09-01)
Article
Accés obertThe dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. Recently, Tao [38], [39] launched a programme to address the global existence problem for the Euler and ... -
Optimal control, contact dynamics and Herglotz variational problem
(Springer Nature, 2022-11-11)
Article
Accés obertIn this paper, we combine two main topics in mechanics and optimal control theory: contact Hamiltonian systems and Pontryagin maximum principle. As an important result, among others, we develop a contact Pontryagin maximum ... -
Hamiltonian facets of classical gauge theories on E-manifolds
(Institute of Physics (IOP), 2023-06-06)
Article
Accés obertManifolds with boundary, with corners, b-manifolds and foliations model configuration spaces for particles moving under constraints and can be described as E-manifolds. E-manifolds were introduced in Nest and Tsygan (2001 ... -
Sundman transformation and alternative tangent structures
(Institute of Physics (IOP), 2023-04-12)
Article
Accés obertA geometric approach to Sundman transformation defined by basic functions for systems of second-order differential equations is developed and the necessity of a change of the tangent structure by means of the function ... -
Noetherian rings of low global dimension and syzygetic prime ideals
(2021-02-01)
Article
Accés obertLet R be a Noetherian ring. We prove that R has global dimension at most two if, and only if, every prime ideal of R is of linear type. Similarly, we show that R has global dimension at most three if, and only if, every ... -
Infinitesimal time reparametrisation and its applications
(Springer, 2022-02-21)
Article
Accés obertA geometric approach to Sundman infnitesimal time-reparametrisation is given and some of its applications are used to illustrate the general theory. Special emphasis is put on geodesic motions and systems described by ... -
More insights into symmetries in multisymplectic field theories
(2023-02-01)
Article
Accés obertThis work provides a general overview for the treatment of symmetries in classical field theories and (pre)multisymplectic geometry. The geometric characteristics of the relation between how symmetries are interpreted in ... -
Slope inequalities for higher dimensional irregular fibrations
(2022-07-28)
Article
Accés restringit per política de l'editorialWe prove the equivalence between Clifford-Severi inequalities for good classes of varieties of maximal Albanese dimension and Slope Inequalities for such varieties fibred over curves. This provides a big set of new Slope ... -
Multicontact formulation for non-conservative field theories
(Institute of Physics (IOP), 2023-01-13)
Article
Accés obertA 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 ... -
The embedding problem for Markov matrices
(2023-01-01)
Article
Accés obertCharacterizing whether a Markov process of discrete random variables has a homogeneous continuous-time realization is a hard problem. In practice, this problem reduces to deciding when a given Markov matrix can be written ... -
Singular cotangent models in fluids with dissipation
(2023-04)
Article
Accés obertIn this article we analyze several mathematical models with singularities where the classical cotangent model is replaced by a -cotangent model. We provide physical interpretations of the singular symplectic geometry ... -
A b-symplectic slice theorem
(2022-08-03)
Article
Accés obertIn this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of -symplectic manifolds started in Guillemin, Miranda, and Pires Adv. Math. 264 (2014), 864–896, we prove ...
