16 citations · 74 across the 21 of their papers we have counts for
22 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 .
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…
On the existence of critical compatible metrics on contact -manifolds
Yoshihiko Mitsumatsu, Daniel Peralta-Salas, Radu Slobodeanu
We disprove the generalized Chern-Hamilton conjecture on the existence of critical compatible metrics on contact -manifolds. More precisely, we show that a contact -manifold…
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…
Steady Euler flows on the 3-sphere and other Sasakian 3-manifolds
Radu Slobodeanu
We present new steady Euler solutions on the (round) 3-sphere, that bifurcate from an ansatz proposed by Khesin, Kuksin and Peralta-Salas, showing that these previously known solut…
Contact structures and Beltrami fields on the torus and the sphere
Daniel Peralta-Salas, Radu Slobodeanu
We present new explicit tight and overtwisted contact structures on the (round) 3-sphere and the (flat) 3-torus for which the ambient metric is weakly compatible. Our proofs are ba…