Year: 2003
Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 4 : pp. 306–320
Abstract
The one-dimensional transient quantum Euler-Poisson system for semiconductors is studied in a bounded interval. The quantum correction can be interpreted as a dispersive regularization of the classical hydrodynamic equations and mechanical effects. The existence and uniqueness of local-in-time solutions are proved with lower regularity and without the restriction on the smallness of velocity, where the pressure-density is general (can be non-convex or non-monotone).
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JPDE-5428
Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 4 : pp. 306–320
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Quantum Euler-Poisson system