1 citations · 2 across the 11 of their papers we have counts for
12 papers
Hölder estimates up to the singular time for the Córdoba-Córdoba-Fontelos equation
Ángel Castro, Alberto Enciso, Antonio J. Fernández
We prove that the solution to the Córdoba-Córdoba-Fontelos equation , , on the real line with analytic initial datum develops a finite-time…
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…
Splash-squeeze singularities and analytic breakdown in ideal incompressible MHD
Diego Córdoba, Alberto Enciso, Matthew Hernandez
We construct splash-squeeze singularities for the free boundary ideal incompressible plasma-vacuum system, in which two arcs of the plasma boundary come together to form a smooth,…
Non-density of nodal lines in the clamped plate problem
Alberto Enciso, Josef Greilhuber
We show that, in contrast to the case of Laplace eigenfunctions, the nodal set of high energy eigenfunctions of the clamped plate problem is not necessarily dense, and can in fact…
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.…
Linear inviscid damping for stably stratified Boussinesq flows
Alberto Enciso, Marc Nualart
We study the linear asymptotic stability of stably stratified monotone shear flows for the Boussinesq equations in the periodic channel. By means of the limiting absorption princip…
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…
Solutions to general elliptic equations on nearly geodesically convex domains with many critical points
Alberto Enciso, Francesca Gladiali, Massimo Grossi
Consider a complete -dimensional Riemannian manifold , a point and a nonlinearity with . We prove that for any odd integer $N…
Positive solutions to general semilinear overdetermined boundary problems
Alberto Enciso, Pablo Hidalgo-Palencia, Xavier Ros-Oton
We establish the existence of positive solutions to a general class of overdetermined semilinear elliptic boundary problems on suitable bounded open sets . Sp…
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…
Nonexistence of Courant-type nodal domain bounds for eigenfunctions of the Dirichlet-to-Neumann operator
Alberto Enciso, Angela Pistoia, Luigi Provenzano
Given a compact manifold with boundary of dimension and any integers and , we show that there exists a metric on for which the first …
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…