Isothermal Quantum Hydrodynamics: Derivation, Asymptotic Analysis, and Simulation
Isothermal Quantum Hydrodynamics: Derivation, Asymptotic Analysis, and Simulation
This article is devoted to the reformulation of an isothermal version of the quantum hydrodynamic model derived by Degond and Ringhofer in [J. Statist. Phys., 112 (2003), pp. 587–628] (which will be referred to as the quantum Euler system). We write the model under a simpler (differential) form. The derivation …