Add to ORKGContact 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 Hamiltonian and Lagrangian formalisms, both in the regular and singular cases. In the singular case, we present a constraint algorithm aiming to find a submanifold where solutions exist. As a particular case we study contact systems with holonomic time-dependent constraints. Some regular and singular examples are analyzed, along with numerical simulations.Comment: 28p
We show that the contact dynamics obtained from the Herglotz variational principle can be described ...
© 2021 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://...
Constraints work in the simplest way among a variety of methods of modeling the mechanical behaviors...
Contact geometry allows us to describe some thermodynamic and dissipative systems. In this paper we ...
The version of record is available online at: http://dx.doi.org/10.1007/s00605-022-01767-1Contact ge...
The version of record is available online at: http://dx.doi.org/10.1007/s00605-022-01767-1Contact ge...
We show that the contact dynamics obtained from the Herglotz variational principle can be described ...
It is shown that the intrinsic geometry associated with equilibrium thermodynamics, namely the conta...
We show that the contact dynamics obtained from the Herglotz variational principle can be described ...
Open access version at https://arxiv.org/pdf/1904.11429.pdfIn this paper, we discuss the singular La...
We present a complete theory of higher-order autonomous contact mechanics, which allows us to descri...
We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalis...
We propose a novel approach to contact Hamiltonian mechanics which, in contrast to the one dominatin...
It is shown that the intrinsic geometry associated with equilibrium thermodynamics, namely the conta...
It is shown that the intrinsic geometry associated with equilibrium thermodynamics, namely the conta...
We show that the contact dynamics obtained from the Herglotz variational principle can be described ...
© 2021 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://...
Constraints work in the simplest way among a variety of methods of modeling the mechanical behaviors...
Contact geometry allows us to describe some thermodynamic and dissipative systems. In this paper we ...
The version of record is available online at: http://dx.doi.org/10.1007/s00605-022-01767-1Contact ge...
The version of record is available online at: http://dx.doi.org/10.1007/s00605-022-01767-1Contact ge...
We show that the contact dynamics obtained from the Herglotz variational principle can be described ...
It is shown that the intrinsic geometry associated with equilibrium thermodynamics, namely the conta...
We show that the contact dynamics obtained from the Herglotz variational principle can be described ...
Open access version at https://arxiv.org/pdf/1904.11429.pdfIn this paper, we discuss the singular La...
We present a complete theory of higher-order autonomous contact mechanics, which allows us to descri...
We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalis...
We propose a novel approach to contact Hamiltonian mechanics which, in contrast to the one dominatin...
It is shown that the intrinsic geometry associated with equilibrium thermodynamics, namely the conta...
It is shown that the intrinsic geometry associated with equilibrium thermodynamics, namely the conta...
We show that the contact dynamics obtained from the Herglotz variational principle can be described ...
© 2021 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://...
Constraints work in the simplest way among a variety of methods of modeling the mechanical behaviors...