195 citations · 627 across the 82 of their papers we have counts for
94 papers
Seifert type magnetohydrostatic equilibria in rotationally symmetric toroidal domains
Daniel Peralta-Salas, Radu Slobodeanu
We construct magnetohydrostatic equilibria in rotationally symmetric toroidal domains whose magnetic lines define an Seifert fibration for arbitrary coprime integers .
The finiteness conjecture for equilibria of electric fields generated by point charges of one sign
Alberto Enciso, Daniel Peralta-Salas
We prove that the electric field generated in three-dimensional space by finitely many point charges of one sign has only finitely many equilibrium points, thereby answering a 1969…
Piecewise smooth stationary Euler flows with support in a neighborhood of a helix
Daniel Peralta-Salas, Jie Wan
We construct stationary solutions of the three-dimensional incompressible Euler equations with helical symmetry and support in a neighborhood of a helix. The solutions are piecewis…
A symmetry theorem for localizable steady solutions of the 3D Euler equations
Daniel Peralta-Salas, Radu Slobodeanu
A steady Euler flow is localizable if the pressure function is constant along its stream lines. This property was used by Gavrilov to construct the first smooth compactly supported…
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…