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