Prelectura TESIS

The geometry of dissipation

Doctorando: Asier López Gordón (ICMAT-CSIC)

Director: Manuel de León (ICMAT-CSIC)

Tutor: Rafael Orive

Fecha: Viernes, 17 de mayo de 2024 - 15:00

Lugar: Aula 520, Módulo 17, Departamento de Matemáticas, UAM

Resumen:

Dissipative phenomena manifest in multiple mechanical systems. In this dissertation, different geometric frameworks for modelling non-conservative dynamics are considered. The objective is to generalize several results from conservative systems to dissipative systems, specially those concerning the symmetries and integrability of these systems. More specifically, three classes of geometric frameworks modelling dissipative systems are considered: systems with external forces, contact systems and systems with impacts. The first two allow modelling a continuous dissipation of energy over time, while the latter also permits considering abrupt changes of energy in the instants of the impacts.