6 papers
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…
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…