DIFFUSIVE TRANSPORT OF PARTIALLY QUANTIZED PARTICLES: EXISTENCE, UNIQUENESS AND LONG-TIME BEHAVIOUR

A self-consistent model for charged particles, accounting for quantum confinement, diffusive transport and electrostatic interaction is considered. The electrostatic potential is a solution of a three-dimensional Poisson equation with the particle density as the source term. This density is the prod...

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Veröffentlicht in:	Proceedings of the Edinburgh Mathematical Society 2006-10, Vol.49 (3), p.513-549
Hauptverfasser:	Ben Abdallah, N., Méhats, F., Vauchelet, N.
Format:	Artikel
Sprache:	eng
Schlagworte:	49K20 49S05 74H40 76R99 Analysis of PDEs convex minimization drift–diffusion system long-time behaviour Mathematics Primary 35Q40 relative entropy Schrödinger equation subband method
Online-Zugang:	Volltext
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