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Keywords:

  • Entropy minimizaton;
  • quantum hydrodynamics.

Abstract

The aim of this paper is to compute viscous correction terms for the isothermal quantum Euler system of Degond, Gallego, and Méhats (SIAM Multiscale Model Simul., 6, 2007). We derive this model by using a Chapman-Enskog expansion up to order 1. In a last part, we consider a situation where the flow is nearly irrotational in order to get a simplified model.