3 papers
math.AP2024
Compactly supported anomalous weak solutions for 2D Euler equations with vorticity in Hardy spaces
Miriam Buck, Stefano Modena
In a previous work (arXiv:2306.05948), we constructed by convex integration examples of energy dissipating solutions to the 2D Euler equations on with vorticity in t…
math.AP2023
Non-uniqueness and energy dissipation for 2D Euler equations with vorticity in Hardy spaces
Miriam Buck, Stefano Modena
We construct by convex integration examples of energy dissipating solutions to the 2D Euler equations on with vorticity in the real Hardy space ,…
math.AP2022
On the failure of the chain rule for the divergence of Sobolev vector fields
Miriam Buck, Stefano Modena
We construct a large class of incompressible vector fields with Sobolev regularity, in dimension , for which the chain rule problem has a negative answer. In particular,…