4 citations · 6 across the 7 of their papers we have counts for
15 papers
Global weak solutions of the Navier-Stokes-Korteweg Equations in one dimension
Paolo Antonelli, Didier Bresch, Stefano Spirito
We prove the global existence of weak solutions of the one-dimensional Navier-Stokes-Korteweg (NSK) equations when the viscosity and the capillarity coefficients are power function…
On the convergence of second-order in time numerical discretizations for the evolution Navier-Stokes equations
Luigi C. Berselli, Stefano Spirito
We prove the convergence of certain second-order numerical methods to weak solutions of the Navier-Stokes equations satisfying in addition the local energy inequality, and therefor…
Existence and uniqueness for a viscoelastic Kelvin-Voigt model with nonconvex stored energy
Konstantinos Koumatos, Corrado Lattanzio, Stefano Spirito +1
We consider nonlinear viscoelastic materials of Kelvin-Voigt type with stored energies satisfying an Andrews-Ball condition, allowing for non convexity in a compact set. Existence…
Relaxation limit from the Quantum-Navier-Stokes equations to the Quantum Drift Diffusion equation
Paolo Antonelli, Giada Cianfarani Carnevale, Corrado Lattanzio +1
The relaxation-time limit from the Quantum-Navier-Stokes-Poisson system to the quantum drift-diffusion equation is performed in the framework of finite energy weak solutions. No as…
Global existence of weak solutions to the Navier-Stokes-Korteweg equations
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 global existence of fin…
On smooth approximations of rough vector fields and the selection of flows
Gennaro Ciampa, Gianluca Crippa, Stefano Spirito
In this work we deal with the selection problem of flows of an irregular vector field. We first summarize an example from \cite{CCS} of a vector field and a smooth approximatio…