3 papers
math.AP2025
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…
math.AP2024
An Expanding Self-Similar Vortex Configuration for the 2D Euler Equations
Juan Dávila, Manuel del Pino, Monica Musso +1
This paper addresses the long-time dynamics of solutions to the 2D incompressible Euler equations. We construct solutions with continuous vorticity concentra…
math.AP2024
Overhanging solitary water waves
Juan Dávila, Manuel del Pino, Monica Musso +1
We provide the first construction of overhanging gravity water waves having the approximate form of a disk joined to a strip by a thin neck. The waves are solitary with constant vo…