The Filippov characteristic flow for the aggregation equation with mildly singular potentials

Existence and uniqueness of global in time measure solution for the multidimensional aggregation equation is analyzed. Such a system can be written as a continuity equation with a velocity field computed through a self-consistent interaction potential. In Carrillo et al. (2011) [17], a well-posednes...

Full description

Bibliographic Details
Main Authors: Carrillo de la Plata, JA, James, F, Lagoutiere, F, Vauchelet, N
Format: Journal article
Language:English
Published: Elsevier 2015