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math.AP2026
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 .
math.AP2026
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…
math.AP2022★ 3 cited
A Liouville-type theorem for the 3D primitive equations
D. Peralta-Salas, R. Slobodeanu
The 3D primitive equations are used in most geophysical fluid models to approximate the large scale oceanic and atmospheric dynamics. We prove that there do not exist smooth statio…