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Exponential decay in time of solutions of the viscous quantum hydrodynamic equations

✍ Scribed by M.P. Gualdani; A. Jüngel; G. Toscani


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
333 KB
Volume
16
Category
Article
ISSN
0893-9659

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The transient equations of viscous quant
✍ Michael Dreher 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 236 KB

## 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