@Article{JPDE-16-4,
author = {},
title = {Quantum Euler-Poisson System: Local Existence of Solutions},
journal = {Journal of Partial Differential Equations},
year = {2003},
volume = {16},
number = {4},
pages = {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).},
issn = {2079-732X},
doi = {https://doi.org/2003-JPDE-5428},
url = {https://global-sci.com/article/88595/quantum-euler-poisson-system-local-existence-of-solutions}
}