Global regularity for the one-dimensional stochastic Quantum-Navier-Stokes equations
Analysis of PDEs
2024-01-19 v1
Abstract
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 particular, we first give a general local well-posedness result. Then, by means of the Bresch-Desjardins entropy, higher order energy estimates, and a continuation argument we prove that the density never vanishes, and thus that local strong solutions are indeed global.
Cite
@article{arxiv.2401.10064,
title = {Global regularity for the one-dimensional stochastic Quantum-Navier-Stokes equations},
author = {Donatella Donatelli and Lorenzo Pescatore and Stefano Spirito},
journal= {arXiv preprint arXiv:2401.10064},
year = {2024}
}
Comments
55 pages