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math.AP2025
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…
math.AP2025
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…
math.AP2025★ 1 cited
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 ,…