3 papers
math.AP2026
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…
math.AP2026
Global unique solvability of the 1D stochastic Navier-Stokes-Korteweg equations
L. Pescatore
We prove the global well-posedness of the one-dimensional Navier-Stokes-Korteweg equations driven by a stochastic multiplicative noise. The analysis is performed for the general ca…
math.AP2024
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…