2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.AP2024★ 2 cited
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…
math.AP2023
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…
math.AP2022
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…