On the Multidimensional Bipolar Isothermal Quantum Drift-diffusion Model

摘要：

　　The bipolar isothermal quantum drift-diffusion model in two or three space dimensions with initial value and periodic boundary conditions is investigated.The global existence of weak solution to the problem is obtained by using semi-discretizing in time and entropy estimate.Furthermore,it is shown that the solution to the problem exponentially approaches its mean value as time increases to infinity by using a series of inequality technique.

关键词： Quantum drift-diffusion model Weak solution Existence Long-time behavior

作者: Jianwei Dong

作者单位: Department of Mathematics and Physics,Zhengzhou Institute of Aeronautical Industry Management,Zhengzhou,P.R.China

会议类型: 国际会议

会议名称: 2012 International Conference on Intelligent System and Applied Material(2012智能系统与应用材料国际会议)(GSAM2012)

会议地点: 太原

会议语种:英文

页码: 186-190

在线出版日期: 2012-01-13（万方平台首次上网日期，不代表论文的发表时间）