Entropy methods and application in the field of collective behaviour
Abstract
These notes summarize a series of lectures given by Claudia Negulescu at the Institut supérieur de l'aéronautique et de l’espace (ISAE-SUPAERO) during the years 2019-2022. They are devoted to an elementary and self-consistent approach of the mathematical theory emerging in the modelling of the collective behaviour of certain natural phenomena. The notion of entropy plays here a crucial role, in particular entropy dissipative techniques are the basis for the investigation of the qualitiative behaviour of nonlinear PDEs. The lectures are based on published works, which were specifically chosen to illustrate different techniques in the field of collective behaviour.
Copyright (c) 2023 Claudia Negulescu, Etienne Lehman, Axel Maupoux
This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors retain all rights to the original work without any restrictions.
License for Published Contents
"Le Matematiche" published articlesa are distribuited with Creative Commons Attribution 4.0 International. You are free to copy, distribute and transmit the work, and to adapt the work. You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
License for Metadata
"Le Matematiche" published articles metadata are dedicated to the public domain by waiving all publisher's rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
No Fee Charging
No fee is required to complete the submission/review/publishing process of authors paper.
