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The transient equations of viscous quantum hydrodynamics

✍ Scribed by Michael Dreher

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
236 KB
Volume
31
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We study the viscous model of quantum hydrodynamics in a bounded domain of space dimension 1, 2, or 3, and in the full one‐dimensional space. This model is a mixed‐order partial differential system with nonlocal and nonlinear terms for the particle density, current density, and electric potential. By a viscous regularization approach, we show existence and uniqueness of local in time solutions. We propose a reformulation as an equation of SchrΓΆdinger type, and we prove the inviscid limit. Copyright Β© 2007 John Wiley & Sons, Ltd.

πŸ“œ SIMILAR VOLUMES

Transients of the hydrodynamics of count
Transients of the hydrodynamics of counter-current packed-bed columns
✍ V. JiΕ™ičnΓ½; V. StanΔ›k πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 638 KB

Transients of the hydrodynamics of the counter-current flow of air and water have been investigated experimentally in a 190-mm column packed with 25 x 25 x 2 mm Pall rings. The transients induced by a step change in liquid or gas velocity to higher or lower values have been processed by a simple fir