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Low Mach number limit for the quantum hydrodynamics system

Low Mach number limit for the quantum hydrodynamics system 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 toward 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Research in the Mathematical Sciences Springer Journals

Low Mach number limit for the quantum hydrodynamics system

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References (29)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Donatelli and Marcati
Subject
Mathematics; Mathematics, general; Applications of Mathematics; Computational Mathematics and Numerical Analysis
eISSN
2197-9847
DOI
10.1186/s40687-016-0063-z
Publisher site
See Article on Publisher Site

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 toward 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.

Journal

Research in the Mathematical SciencesSpringer Journals

Published: May 15, 2016

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