• Corpus ID: 248887758

Time-dependent contact mechanics

@inproceedings{Leon2022TimedependentCM,
  title={Time-dependent contact mechanics},
  author={Manuel de Le'on and Jordi Gaset Rif{\`a} and Xavier Gr{\`a}cia and Miguel C. Mu{\~n}oz-Lecanda and Xavier Rivas},
  year={2022}
}
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 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… 

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