On viscous quantum hydrodynamics associated with nonlinear Schrödinger-Doebner-Goldin models

DOI10.3934/KRM.2012.5.517zbMath1261.81065OpenAlexW2314796894MaRDI QIDQ1930431

Jesús Montejo-Gámez, José Luis López

Publication date: 11 January 2013

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2012.5.517

zbMATH Keywords

quantum hydrodynamicsDoebner-Goldin equationquantum Navier-Stokes equationquantum viscous hydrodynamic equationSchrödinger description of quantum mechanics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Navier-Stokes equations (35Q30) NLS equations (nonlinear Schrödinger equations) (35Q55) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Method of moments applied to problems in optics and electromagnetic theory (78M05)

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