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Time-dependent contact mechanics

de León, Manuel ; Gaset, Jordi ; Gràcia, Xavier ; Muñoz-Lecanda, Miguel C. ; Rivas, Xavier

Monatshefte für Mathematik, 2023-08, Vol.201 (4), p.1149-1183 [Periódico revisado por pares]

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Título:
Time-dependent contact mechanics
Autor: de León, Manuel ; Gaset, Jordi ; Gràcia, Xavier ; Muñoz-Lecanda, Miguel C. ; Rivas, Xavier
Assuntos: Algorithms ; Hamiltonian functions ; Manifolds (mathematics) ; Mathematics ; Mathematics and Statistics ; Time dependence
É parte de: Monatshefte für Mathematik, 2023-08, Vol.201 (4), p.1149-1183
Descrição: Contact geometry allows us 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.
Editor: Vienna: Springer Vienna
Idioma: Inglês

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