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math.AP2012★ 1 cited
Uniqueness for Keller-Segel-type chemotaxis models
J. A. Carrillo, S. Lisini, E. Mainini
We prove uniqueness in the class of integrable and bounded nonnegative solutions in the energy sense to the Keller-Segel (KS) chemotaxis system. Our proof works for the fully parab…
math.AP2012
Gradient flows for non-smooth interaction potentials
José Antonio Carrillo, Stefano Lisini, Edoardo Mainini
We deal with a nonlocal interaction equation describing the evolution of a particle density under the effect of a general symmetric pairwise interaction potential, not necessarily…