496 research outputs found
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 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.Comment: To appear in Research in the Mathematical Science
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