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math.AP2014
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…
math.AP2014
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.
math.AP2010
Weak solutions of Navier-Stokes equations constructed by artificial compressibility method are suitable
D. Donatelli, S. Spirito
In this paper we prove that weak solution constructed by artificial compressibility method are suitable in the sense of Scheffer. Using Hilbertian setting and Fourier transform wit…