58 citations · 128 across the 10 of their papers we have counts for
12 papers
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 ,…
Local Nonuniqueness for Stochastic Transport Equations with Deterministic Drift
Stefano Modena, Andre Schenke
We study well-posedness for the stochastic transport equation with transport noise, as introduced by Flandoli, Gubinelli and Priola. We consider periodic solutions in $ρ\in L^{\inf…
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,…
Non Uniqueness of power-law flows
Jan Burczak, Stefano Modena, László Székelyhidi
We apply the technique of convex integration to obtain non-uniqueness and existence results for power-law fluids, in dimension . For the power index below the compactne…
On some recent results concerning non-uniqueness for the transport equation
Stefano Modena
In these notes we present some recent results concerning the non-uniqueness of solutions to the transport equation, obtained in collaboration with Gabriel Sattig and Laszlo Szekely…
Convex integration solutions to the transport equation with full dimensional concentration
Stefano Modena, Gabriel Sattig
We construct infinitely many incompressible Sobolev vector fields on the periodic domain for which uniqueness of solutions to the transp…