12 citations · 24 across the 7 of their papers we have counts for
7 papers
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…
Solvability for the Ginzburg-Landau equation linearized at the degree-one vortex
Manuel del Pino, Rowan Juneman, Monica Musso
We consider the Ginzburg-Landau equation in the plane linearized around the standard degree-one vortex solution . Using explicit representation formulae for the Fo…
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…
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…
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…
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…