3 papers
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…
math.AP2022
Blow up criteria for a fluid dynamical model arising in astrophysics
Donatella Donatelli, Lorenzo Pescatore
In this paper we deal with the existence of local strong solution for a perfect compressible viscous fluid, heat conductive and self gravitating, coupled with a first order kinetic…