Low Mach number limit for the Quantum-Hydrodynamics system
Analysis of PDEs
2016-05-05 v1
Abstract
In this paper we deal with the low Mach number limit for the system of quantum-hydrodynamics, far from the vortex nucleation regime. More precisely, in the framework of a periodic domain and ill-prepared initial data we prove strong convergence of the solutions towards regular solutions of the incompressible Euler system. In particular we will perform a detailed analysis of the time oscillations and of the relative entropy functional related to the system.
Keywords
Cite
@article{arxiv.1605.01276,
title = {Low Mach number limit for the Quantum-Hydrodynamics system},
author = {Donatella Donatelli and Pierangelo Marcati},
journal= {arXiv preprint arXiv:1605.01276},
year = {2016}
}
Comments
To appear in Research in the Mathematical Sciences