Global solutions of aggregation equations and other flows with random diffusion

Abstract Aggregation equations, such as the parabolic-elliptic Patlak–Keller–Segel model, are known to have an optimal threshold for global existence versus finite-time blow-up. In particular, if the diffusion is absent, then all smooth solutions with finite second moment can exist only...

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Bibliographic Details
Main Authors: Rosenzweig, Matthew, Staffilani, Gigliola
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2022
Online Access:https://hdl.handle.net/1721.1/146173