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3 papers
The minimal resistance problem in a class of non convex bodies
Edoardo Mainini, Manuel Monteverde, Edouard Oudet +1
We characterize the solution to the Newton minimal resistance problem in a class of radial q-concave profiles. We also give the corresponding result for one-dimensional profiles. M…
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…
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…