3 papers
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,…
math.AP2025
Global Weak Solutions for the High--Friction Quantum Navier--Stokes--Poisson Model
Giada Cianfarani Carnevale
In [1], the Authors rigorously establish the relaxation limit from the Quantum Navier Stokes Poisson (QNSP) system to the Quantum Drift Diffusion (QDD) equation, while providing on…
math.AP2025
Extending relative entropy for Korteweg-Type models with non-monotone pressure:large friction limit and weak-strong uniqueness
Giada Cianfarani Carnevale, Jan Giesselmann
In this paper we study weak-strong uniqueness and singular relaxation limits for the Euler--Korteweg and Navier--Stokes--Korteweg systems with non monotone pressure. Both weak-stro…