4 citations · 6 across the 4 of their papers we have counts for
4 papers
Smooth and swirling steady vortex rings near the Hill--Norbury family
Răzvan-Octavian Radu, Noah Stevenson
An investigation of local aspects of the space of axisymmetric traveling-wave solutions to the three-dimensional Euler equations near Hill's zero-flux spherical vortex and Norbury'…
An Onsager-type theorem for SQG
Mimi Dai, Vikram Giri, Razvan-Octavian Radu
We construct non-trivial weak solutions to the surface quasi-geostrophic (SQG) equations, which have compact support in time and, thus, violate the conservatio…
The Onsager conjecture in 2D: a Newton-Nash iteration
Vikram Giri, Razvan-Octavian Radu
For any , we construct a nontrivial weak solution to the two-dimensional, incompressible Euler equations, which has compact support in time and satisfies $u\in C^γ(\math…
Existence and Regularity for Vortex Patch Solutions of the 2D Euler Equations
Razvan-Octavian Radu
In "Global regularity for vortex patches" (Commun. Math. Phys. 1993), Bertozzi and Constantin formulate the vortex patch problem in the level-set framework and prove a priori estim…