6 papers · 1 filter
Invariant measures for the one-dimensional stochastic Navier-Stokes-Korteweg equations
Donatella Donatelli, Lorenzo Pescatore, Stefano Spirito
We investigate the long-time behaviour of a one-dimensional compressible viscous fluid with general capillarity and density dependent viscosity, driven by a stochastic additive noi…
Global Existence and Uniqueness of Strong Solutions for a Phase Transition Model in Atmospheric Dynamics
Giada Cianfarani Carnevale, Donatella Donatelli, Stefano Spirito
In this work, we study a phase transition model in atmospheric dynamics, inspired by the works [6,14,15], which analyze the primitive equations governing the evolution of velocity,…
Large bulk viscosity limit for compressible MHD equations in critical Besov spaces
Gennaro Ciampa, Donatella Donatelli, Giada Pellecchia
We study the large bulk viscosity limit for the compressible magnetohydrodynamics (MHD) equations in two and three dimensions. For arbitrarily large initial data in critical Besov…
Inviscid incompressible limit for capillary fluids with density dependent viscosity
Matteo Caggio, Donatella Donatelli, Lars Eric Hientzsch
The asymptotic limit of the 2D and 3D Navier-Stokes-Korteweg system for barotropic capillary fluids with density dependent viscosities in the low Mach number and vanishing viscosit…
Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations
Donatella Donatelli, Lorenzo Pescatore, Stefano Spirito
In this paper we prove the existence of global weak dissipative martingale solutions for a one-dimensional compressible fluid model with capillarity and density dependent viscosity…
Generalized dissipative solutions to free boundary compressible viscous models
Anna Abbatiello, Donatella Donatelli
We study free boundary compressible viscous models that may include nonlinear viscosities. These are compressible/incompressible Navier-Stokes type systems for a non-Newtonian stre…