On well-posedness of quantum fluid systems in the class of dissipative solutions
Analysis of PDEs
2022-03-23 v1
Abstract
The main objects of the present work are the quantum Navier-Stokes and quantum Euler systems; for the first one, in particular, we will consider constant viscosity coefficients. We deal with the concept of dissipative solutions, for which we will first prove the weak-strong uniqueness principle and afterwards, we will show the global existence for any finite energy initial data. Finally, we will prove that both systems admit a semiflow selection in the class of dissipative solutions.
Keywords
Cite
@article{arxiv.2203.11833,
title = {On well-posedness of quantum fluid systems in the class of dissipative solutions},
author = {Danica Basarić and Tong Tang},
journal= {arXiv preprint arXiv:2203.11833},
year = {2022}
}