8 papers
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…
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…
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,…
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…
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 . S…