73 citations · 677 across the 78 of their papers we have counts for
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Low-energy dynamics in generic potential fields: Hyperbolic periodic orbits and non-ergodicity
Alberto Enciso, Manuel Garzón, Daniel Peralta-Salas
We prove that, on each low energy level, the natural Hamiltonian system defined by a generic smooth potential on exhibits an arbitrarily high number of hyperbolic pe…
Splitting and Merging of Stagnation Points of Solutions to the 2D Navier-Stokes Equations
Isidro Benaroya, Alberto Enciso, Daniel Peralta-Salas
We construct solutions to the Navier-Stokes equations on with an arbitrary number of stagnation points which merge and split along trajectories that can be prescribe…
Hölder continuous dissipative solutions of ideal MHD with nonzero helicity
Alberto Enciso, Javier Peñafiel-Tomás, Daniel Peralta-Salas
We prove the existence of weak solutions to the 3D ideal MHD equations, of class with , for which the total energy and the cross helicity (i.e., the so-called Elsäss…
Local limits of high energy eigenfunctions on integrable billiards
Alberto Enciso, Alba Garcia-Ruiz, Daniel Peralta-Salas
Berry's random wave conjecture posits that high energy eigenfunctions of chaotic systems resemble random monochromatic waves at the Planck scale. One important consequence is that,…
Steady 3d Euler flows via a topology-preserving convex integration scheme
Alberto Enciso, Javier Peñafiel-Tomás, Daniel Peralta-Salas
Given any smooth solenoidal vector field on , we show the existence of infinitely many Hölder-continuous steady Euler flows with the same topology as ,…