73 citations · 677 across the 78 of their papers we have counts for
36 papers · 1 filter
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 ,…
Isolated steady solutions of the 3D Euler equations
Alberto Enciso, Willi Kepplinger, Daniel Peralta-Salas
We show that there exist closed three-dimensional Riemannian manifolds where the incompressible Euler equations exhibit smooth steady solutions that are isolated in the -topol…
An extension theorem for weak solutions of the 3d incompressible Euler equations and applications to singular flows
Alberto Enciso, Javier Peñafiel-Tomás, Daniel Peralta-Salas
We prove an extension theorem for local solutions of the 3d incompressible Euler equations. More precisely, we show that if a smooth vector field satisfies the Euler equations in a…
Obstructions to topological relaxation for generic magnetic fields
Alberto Enciso, Daniel Peralta-Salas
For any axisymmetric toroidal domain we prove that there is a locally generic set of divergence-free vector fields that are not topologically equivalent to…