52 citations · 207 across the 36 of their papers we have counts for
5 papers · 1 filter
Logarithmic estimates for continuity equations
Maria Colombo, Gianluca Crippa, Stefano Spirito
The aim of this short note is twofold. First, we give a sketch of the proof of a recent result proved by the authors in the paper [Colombo, Crippa, and Spirito, Calc. Var. Partial…
Strong continuity for the 2D Euler equations
Gianluca Crippa, Elizaveta Semenova, Stefano Spirito
We prove two results of strong continuity with respect to the initial datum for bounded solutions to the Euler equations in vorticity form. The first result provides sequential con…
On the compactness of weak solutions to the Navier-Stokes-Korteweg equations for capillary fluids
Paolo Antonelli, Stefano Spirito
In this paper we consider the Navier-Stokes-Korteweg equations for a viscous compressible fluid with capillarity effects in three space dimensions. We prove compactness of finite e…
Splash singularities for a general Oldroyd model with finite Weissenberg number
Elena Di Iorio, Pierangelo Marcati, Stefano Spirito
In this paper we study a 2D Oldroyd free-boundary model which describes the evolution of a viscoelastic fluid. We prove existence of splash singularities, namely points where the b…
Splash singularity for a free-boundary incompressible viscoelastic fluid model
Elena Di Iorio, Pierangelo Marcati, Stefano Spirito
In this paper we analyze a 2D free-boundary viscoelastic fluid model of Oldroyd-B type at infinite Weissenberg number. Our main goal is to show the existence of the so-called splas…