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一维半导体流体动力学模型的解的逐点估计
引用本文:黎野平.一维半导体流体动力学模型的解的逐点估计[J].咸宁学院学报,2003,23(6):1-5.
作者姓名:黎野平
作者单位:咸宁学院,数学系,湖北,咸宁,437005
基金项目:AcademicResearchProject(A) (k2 0 0 117)
摘    要:讨论了一维半导体流体动力学模型,得到了小初值情况下Cauchy问题解的整体存在性和解的逐点估计,我们所使用的方法是对相应的线性化系统的Green函数的详细分析和能量估计。

关 键 词:半导体  流体动力学模型  Green函数  逐点估计

The Pointwise Estimates of Solution for One - dimensional Hydrodynamic Model for Semiconductors
LI Ye-ping.The Pointwise Estimates of Solution for One - dimensional Hydrodynamic Model for Semiconductors[J].Journal of Xianning College,2003,23(6):1-5.
Authors:LI Ye-ping
Abstract:A one-dimensional hydrodynamic model for semiconductor devices is studied.The global existence and pointwise estimates of the solutions to Cauchy problem with small data for one-dimensional Euler-Possion (or hydrodynamic) model for semiconductor devices in the simple isentropic case are obtained.Our approach is based on a detailed analysis for the Green's function of theirs associated linearized system and some energy estimates.
Keywords:Semiconductors  Hydrodynamic model  Green function  Pointwise estimates
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