Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Gaset, Jordi"'
Publikováno v:
Fortschr. Phys. 2023, 2300048
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:
http://arxiv.org/abs/2212.14848
In the recent years, with the incorporation of contact geometry, there has been a renewed interest in the study of dissipative or non-conservative systems in physics and other areas of applied mathematics. The equations arising when studying contact
Externí odkaz:
http://arxiv.org/abs/2211.17058
Autor:
Gaset, Jordi
We use the kernel of a premultisymplecic form to classify its solutions, inspired by the work of M. Gotay and J. Nester. In the case of variational premultisymplectic forms, there is an equivalence relation which classify the solutions in general dis
Externí odkaz:
http://arxiv.org/abs/2209.11212
Autor:
de León, Manuel, Gaset, Jordi, Muñoz-Lecanda, Miguel Carlos, Rivas, Xavier, Román-Roy, Narciso
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:
http://arxiv.org/abs/2209.08918
Autor:
Gaset, Jordi, Mas, Arnau
We derive the equations of motion of an action-dependent version of the Einstein-Hilbert Lagrangian, as a specific instance of the Herglotz variational problem. Action-dependent Lagrangians lead to dissipative dynamics, which cannot be obtained with
Externí odkaz:
http://arxiv.org/abs/2206.13227
Contact geometry allows to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order to describe time-dependent contact systems: cocontact manifolds. Within this setting we develop the Hamilton
Externí odkaz:
http://arxiv.org/abs/2205.09454
We present several results on the inverse problem and equivalent contactLagrangian systems. These problems naturally lead to consider smooth transformations on the z variable (i.e., reparametrizations of the action). We present the extended contact L
Externí odkaz:
http://arxiv.org/abs/2110.04815
Autor:
Gaset, Jordi, Marín-Salvador, Adrià
This work applies the contact formalism of classical mechanics and classical field theory, introduced by Herglotz and later developed in the context of contact geometry, to describe electromagnetic systems with dissipation. In particular, we study an
Externí odkaz:
http://arxiv.org/abs/2108.07542
Autor:
Gaset, Jordi, Román-Roy, Narciso
Symmetries and, in particular, Cartan (Noether) symmetries and conserved quantities (conservation laws) are studied for the multisymplectic formulation of first and second order Lagrangian classical field theories. Noether-type theorems are stated in
Externí odkaz:
http://arxiv.org/abs/2107.08846
Publikováno v:
RACSAM 116, 20 (2022)
In general, the system of $2$nd-order partial differential equations made of the Euler-Lagrange equations of classical field theories are not compatible for singular Lagrangians. This is the so-called second-order problem. The first aim of this work
Externí odkaz:
http://arxiv.org/abs/2106.06260