2 citations · 4 across the 9 of their papers we have counts for
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Isolated yet highly unstable 2D Euler equilibria
Alberto Enciso, Antonio J. Fernández, Marc Nualart
We construct steady solutions of the two-dimensional Euler equations on smooth annular domains that are isolated, modulo scaling, in the vorticity topology. They are hig…
Vortex-sheet desingularization for three-dimensional ideal fluids
Alberto Enciso, Antonio J. Fernández, David Meyer
We prove a desingularization theorem for analytic vortex sheets of the 3D incompressible Euler equations. Starting from an analytic solution of the corresponding Birkhoff-Rott syst…
Uniformly rotating Euler flows with compactly supported velocity
Alberto Enciso, Antonio J. Fernández, David Ruiz
For any positive integer , we prove the existence of nontrivial -smooth uniformly rotating solutions to the 2D incompressible Euler equations with compact spatial support.…
A contractible Schiffer counterexample on the half-sphere
Gonzalo Cao-Labora, Antonio J. Fernández
We show the existence of a family of nontrivial smooth contractible domains on the sphere that admit Neumann eigenfunctions of the Laplacian which are constant on the boundary. The…
Desingularization of vortex sheets for the 2D Euler equations
Alberto Enciso, Antonio J. Fernández, David Meyer
We show how to regularize vortex sheets by means of smooth, compactly supported vorticities that asymptotically evolve according to the Birkhoff-Rott vortex sheet dynamics. More pr…
Smooth nonradial stationary Euler flows on the plane with compact support
Alberto Enciso, Antonio J. Fernández, David Ruiz
We prove the existence of nonradial classical solutions to the 2D incompressible Euler equations with compact support. More precisely, for any positive integer , we construct co…
A Schiffer-type problem for annuli with applications to stationary planar Euler flows
Alberto Enciso, Antonio J. Fernández, David Ruiz +1
If on a smooth bounded domain there is a nonconstant Neumann eigenfunction that is locally constant on the boundary, must be a disk or an annulus? Th…
Global fractional Calderón-Zygmund type regularity
Boumediene Abdellaoui, Antonio J. Fernández, Tommaso Leonori +1
We obtain a global fractional Calderón-Zygmund regularity theory for the fractional Poisson problem. More precisely, for , , a bounded domain with…