177 citations · 532 across the 20 of their papers we have counts for
22 papers
Leapfrogging vortex rings for the 3-dimensional incompressible Euler equations
Juan Davila, Manuel del Pino, Monica Musso +1
A classical problem in fluid dynamics concerns the interaction of multiple vortex rings sharing a common axis of symmetry in an incompressible, inviscid -dimensional fluid. Helm…
Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation
Weiwei Ao, Juan Davila, Manuel del Pino +2
For the generalized surface quasi-geostrophic equation $$\left\{ \begin{aligned} & \partial_t θ+u\cdot \nabla θ=0, \quad \text{in } \mathbb{R}^2 \times (0,T), \\ & u=\nabla^\perp ψ…
Existence and stability of infinite time blow-up in the Keller-Segel system
Juan Davila, Manuel del Pino, Jean Dolbeault +2
Perhaps the most classical diffusion model for chemotaxis is the Keller-Segel system \begin{equation}\tag{} \label{ks0} \left\{ \begin{aligned} u_t =&\; Δu - \nabla \cdot(u \…
Blow-up for the 3-dimensional axially symmetric harmonic map flow into S2
Juan Davila, Manuel Del Pino, Catalina Pesce +1
We construct finite time blow-up solutions to the 3-dimensional harmonic map flow into the sphere , \begin{align*} u_t & = Δu + |\nabla u|^2 u \quad \text{in } Ω\times(0,T) \\…
Interacting helical vortex filaments in the 3-dimensional Ginzburg-Landau equation
Juan Dávila, Manuel del Pino, Maria Medina +1
For each given , we construct a family of entire solutions , , with helical symmetry to the 3-dimensional complex-valued Ginzburg-Landa…
Gluing methods for vortex dynamics in Euler flows
Juan Davila, Manuel del Pino, Monica Musso +1
A classical problem for the two-dimensional Euler flow for an incompressible fluid confined to a smooth domain. is that of finding regular solutions with highly concentrated vortic…