Time-dependent contact mechanics
Fecha:
2023Palabra clave:
Revista / editorial:
Monatshefte fur MathematikCitación:
de León, M., Gaset, J., Gràcia, X. et al. Time-dependent contact mechanics. Monatsh Math (2022). https://doi.org/10.1007/s00605-022-01767-1Tipo de Ítem:
Articulo Revista IndexadaDirección web:
https://link.springer.com/article/10.1007/s00605-022-01767-1
Resumen:
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.
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