4 papers
Classification of the dynamics of radial solutions to the 2D parabolic-elliptic Keller-Segel System
Federico Buseghin, Charles Collot
This note gives a complete classification of the asymptotic behavior of radial solutions to the two-dimensional parabolic-elliptic Keller-Segel system on the whole space, for gener…
Determination of the long-time dynamics for the 2D Keller-Segel equation at critical mass
Federico Buseghin, Charles Collot
We consider the parabolic-elliptic Keller-Segel equation in two dimensions on the whole space. We prove that for arbitrary initial data with critical mass and finite second m…
Strichartz estimates for a class of Schrödinger equations with a drift
Federico Buseghin, Nicola Garofalo
We establish new intrinsic Strichartz estimates for solutions of the Cauchy problem for a class of possibly degenerate Schrödinger equations with a real drift.
Finite-time blow-up for the three dimensional axially symmetric Keller-Segel system
Federico Buseghin, Juan Dávila, Manuel del Pino +1
We construct axially symmetric finite-time blow-up solutions to the three-dimensional Keller-Segel system. By adapting gluing techniques, we derive a precise asymptotic expansion f…