52 citations · 207 across the 36 of their papers we have counts for
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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…
Asymptotic Limits for Strain-Gradient Viscoelasticity with Nonconvex Energy
Aseel AlNajjar, Stefano Spirito, Athanasios E. Tzavaras
We consider the system of viscoelasticity with higher-order gradients and nonconvex energy in several space dimensions. We establish the asymptotic limits when the viscosity $ν\rig…
Propagation of logarithmic regularity and inviscid limit for the 2D Euler equations
Gennaro Ciampa, Gianluca Crippa, Stefano Spirito
The aim of this note is to study the Cauchy problem for the 2D Euler equations under very low regularity assumptions on the initial datum. We prove propagation of regularity of log…
Global regularity for the one-dimensional stochastic Quantum-Navier-Stokes equations
Donatella Donatelli, Lorenzo Pescatore, Stefano Spirito
In this paper we prove the global in time well-posedness of strong solutions to the Quantum-Navier-Stokes equation driven by random initial data and stochastic external force. In p…