Manuel del Pino

activity

20182024

most citedTravelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation

12 citations · 24 across the 7 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

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 $ω_{ε} (x, t)$ concentra…

math.AP2024

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 $W (x) = w (r) e^{i θ}$ . Using explicit representation formulae for the Fo…

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…