2 papers
math.AP2023
Existence of finite time blow-up in Keller-Segel system
Federico Buseghin, Juan Davila, Manuel del Pino +1
Perhaps the most classical diffusion model for chemotaxis is the Keller-Segel system $\begin{equation} \begin{cases} u_{t} =Δu - \nabla \cdot(u \nabla v) \ \ \ \text{in } \mathbb{R…
math.AP2015
Solution of the fractional Allen-Cahn equation which are invariant under screw motion
Eleonora Cinti, Juan Davila, Manuel Del Pino
We establish existence and non-existence results for entire solutions to the fractional Allen-Cahn equation in , which vanish on helicoids and are invariant under scre…