Quantum Euler-Poisson systems: global existence and exponential decay

Jüngel, Ansgar; Li, Hailiang

doi:10.1090/qam/2086047

Authors: Ansgar Jüngel and Hailiang Li
Journal: Quart. Appl. Math. 62 (2004), 569-600
MSC: Primary 82C10; Secondary 35A07, 35B25, 35Q40, 76Y05, 82D37
DOI: https://doi.org/10.1090/qam/2086047
MathSciNet review: MR2086047
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Abstract: A one-dimensional transient quantum Euler-Poisson system for the electron density, the current density, and the electrostatic potential in bounded intervals is considered. The equations include the Bohm potential accounting for quantum mechanical effects and are of dispersive type. They are used, for instance, for the modelling of quantum semiconductor devices.

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