4 papers
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,…
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…
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…
Propagating Fronts for a Viscous Hamer-Type system
Giada Cianfarani Carnevale, Corrado Lattanzio, Corrado Mascia
Motivated by radiation hydrodynamics, we analyse a 2x2 system consisting of a one-dimensional viscous conservation law with strictly convex flux -- the viscous Burgers' equation be…