52 citations · 207 across the 36 of their papers we have counts for
5 papers · 2 filters
Non-Uniqueness and prescribed energy for the continuity equation
Gianluca Crippa, Nikolay Gusev, Stefano Spirito +1
In this note we provide new non-uniqueness examples for the continuity equation by constructing infinitely many weak solutions with prescribed energy.
Failure of the chain rule for the divergence of bounded vector fields
Gianluca Crippa, Nikolay Gusev, Stefano Spirito +1
We provide a vast class of counterexamples to the chain rule for the divergence of bounded vector fields in three space dimensions. Our convex integration approach allows us to pro…
Renormalized solutions to the continuity equation with an integrable damping term
Maria Colombo, Gianluca Crippa, Stefano Spirito
We consider the continuity equation with a nonsmooth vector field and a damping term. In their fundamental paper, DiPerna and Lions proved that, when the damping term is bounded in…
Renormalized solutions of the 2d Euler equations
Gianluca Crippa, Stefano Spirito
In this paper we prove that solutions of the 2D Euler equations in vorticity formulation obtained via vanishing viscosity approximation are renormalized.
Vanishing dielectric constant regime for the Navier Stokes Maxwell equations
Donatella Donatelli, Stefano Spirito
In this paper we rigorously justify the convergence of smooth solutions of the Navier-Stokes-Maxwell equations towards smooth solutions of the classical parabolic MHD equation…