Global regularity for the one-dimensional stochastic Quantum-Navier-Stokes equations
D Donatelli, L Pescatore, S Spirito - arxiv preprint arxiv:2401.10064, 2024 - arxiv.org
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 …
Navier-Stokes equation driven by random initial data and stochastic external force. In …
Asymptotic limits for strain-gradient viscoelasticity with nonconvex energy
A AlNajjar, S Spirito, AE Tzavaras - arxiv preprint arxiv:2410.17115, 2024 - arxiv.org
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 …
in several space dimensions. We establish the asymptotic limits when the viscosity …
Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations
D Donatelli, L Pescatore, S Spirito - arxiv preprint arxiv:2412.10875, 2024 - arxiv.org
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 …
one-dimensional compressible fluid model with capillarity and density dependent viscosity …