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math.AP2017
Ground States in the Diffusion-Dominated Regime
José A. Carrillo, Franca Hoffmann, Edoardo Mainini +1
We consider macroscopic descriptions of particles where repulsion is modelled by non-linear power-law diffusion and attraction by a homogeneous singular kernel leading to variants…
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…