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
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