2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.AP2021
Interacting helical traveling waves for the Gross-Pitaevskii equation
Juan Dávila, Manuel del Pino, María Medina +1
We consider the 3D Gross-Pitaevskii equation \begin{equation}\nonumber i\partial_t ψ+Δψ+(1-|ψ|^2)ψ=0 \text{ for } ψ:\mathbb{R}\times \mathbb{R}^3 \rightarrow \mathbb{C} \end{equati…
math.AP2020★ 2 cited
Travelling helices and the vortex filament conjecture in the incompressible Euler equations
Juan Dávila, Manuel del Pino, Monica Musso +1
We consider the Euler equations in expressed in vorticity form. A classical question that goes back to Helmholtz is to describe the evolution of solutions with a hi…
math.AP2019
Long-time asymptotics for evolutionary crystal dislocation models
Matteo Cozzi, Juan Dávila, Manuel del Pino
We consider a family of evolution equations that generalize the Peierls-Nabarro model for crystal dislocations. They can be seen as semilinear parabolic reaction-diffusion equation…