195 citations · 627 across the 82 of their papers we have counts for
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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 .
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…
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…
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 ,…