QUANTUM EULER-POISSON SYSTEM: LOCAL EXISTENCE OF SOLUTIONS

• 来源期刊: 偏微分方程（英文版）
• 学科: 物理学
• 关键词: Quantum Euler-Poisson system existence of local classical solu tions non-linear fourth-order wave equation.
• 年，卷（期）: 2003,（4）
• 页码范围: 306-320
• 页数: 15页
• 分类号: O471.1,O175.28
• 语种: 英文

摘要

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).