2 papers
math.AP2024
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(\ma…
math.AP2024
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 conservati…