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arXiv · 1605.01276

Low Mach number limit for the Quantum-Hydrodynamics system

Donatella Donatelli·Pierangelo Marcati
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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.

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Donatella Donatelli, Pierangelo Marcati. 2016-05-04. Low Mach number limit for the Quantum-Hydrodynamics system. https://arxiv.org/abs/1605.01276

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