90 citations · 253 across the 33 of their papers we have counts for
44 papers
Uniformly Rotating Euler Configurations with Multiple Vorticity Holes
Vittorio Baroncini, Juan Carlos Cantero, Claudia García +2
We construct new families of uniformly rotating vortex-patch solutions of the two-dimensional incompressible Euler equations consisting of a simply connected outer patch and multip…
The regularity of the boundary of vortex patches for the quasi-geostrophic shallow-water equations
Marc Magaña, Joan Mateu, Joan Orobitg
We prove the persistence of boundary smoothness of vortex patches for the quasi-geostrophic shallow-water (QGSW) equations. The QGSW equations generalize the Euler equations by inc…
Explicit minimisers for anisotropic Riesz energies
Rupert L. Frank, Joan Mateu, Maria Giovanna Mora +3
In this paper we describe explicitly the energy minimisers of a class of nonlocal interaction energies where the attraction is quadratic, and the repulsion is Riesz-like and anisot…
Analiticity of the Flow for the Aggregation Equation
J. M. Burgués, J. Mateu
Let be a bounded domain in whose boundary is $\ka{1,\,γ}$ for . Consider the aggregation equation in the case of the initial condition being a positive mult…
Time periodic solutions close to localized radial monotone profiles for the 2D Euler equations
Claudia García, Taoufik Hmidi, Joan Mateu
In this paper, we address for the 2D Euler equations the existence of rigid time periodic solutions close to stationary radial vortices of type , w…
Explicit minimisers for anisotropic Coulomb energies in 3D
Joan Mateu, Maria Giovanna Mora, Luca Rondi +2
In this paper we consider a general class of anisotropic energies in three dimensions and give a complete characterisation of their minimisers. We show that, depending on the Fouri…