2 citations · 4 across the 9 of their papers we have counts for
4 papers · 1 filter
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.…
The Provably Total Set-Recursive Functions of KPl
Juan Pablo Aguilera, Anton Fernández, Joost J. Joosten
Using relativized ordinal analysis, we give a proof-theoretic characterization of the provably total set-recursive-from- functions of KPl and related theories.
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…