Coloquio José Mendoza Ríos: "The classical coagulation equation: gelation, self-similarity and oscillations"

Nos gustaría continuar Las charlas del Coloquio «José Mendoza Ríos», organizadas por el Instituto de Matemáticas Iemath-GR, en colaboración con IMUS, conntinúan con una conferencia que tuvo que cancelarse debido a las medidas especiales de confinamiento. La charla tendrá finalmente lugar por videoconferencia el próximo viernes 10 de julio, impartida por Barbara Niethammer (Universidad de Bonn), bajo el título The classical coagulation equation: gelation, self-similarity and oscillations.
Estas charlas están orientadas a especialistas en cualquier área de las matemáticas, y esperamos que sean también accesibles a estudiantes. Resumen de la conferencia: In 1916 Smoluchowski derived a mean-field model for mass aggregation in order to develop a mathematical theory for coagulation processes. Since Smoluchowski’s groundbreaking work this model and various extensions have  been used in a  diverse range of applications such as aerosol physics, polymerization, population dynamics, or astrophysics. Fundamental questions are whether the model exhibits gelation, that is loss of mass in finite time, or whether  solutions develop a universal self-similar form for large times. These issues are understood only for some exactly solvable models, while in the general case  these problems are basically still open. I will give an overview of the basic properties of these models, explain some of the main challenges in the analysis  and report on recent progress that suggests that the scaling hypothesis is in general not true.