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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 force. In pa…
math.AP2026
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,…