半导体与超晶格的数学模型及其分析Ⅱ:分析<英>  

On Mathematical Modelling and Analysis in Semiconductors and Superlattices Part Ⅱ: Analysis

作　　者：肖玲[1] 邱又春 张凯军[3,4] 

机构地区：[1]中国科学院数学与系统科学研究院 [2]法国Paul Sabatier大学工业与数学物理实验室 [3]东北师范大学数学系 [4]4.Institut fur Mathematik,Universitat Wien,Strudlhogasse 4,A-1090 Wien,Austria

出　　处：《数学进展》2003年第2期166-184,共19页Advances in Mathematics（China）

基　　金：Support by the Special Funds of State Major Basic Research Projects(Grant No.1999075107);Innovation Funds of AMSS,CAS of China;Support by the Austrian government START-prize project"Nonlinear SchrSdinger;Quantum Boltzmann Equations"(Y-137-TEC)

摘　　要：本文先介绍等熵可压缩Euler方程的相关补偿列紧框架.然后,我们综述基于补偿列紧方法的关于半导体流体动力模型的诸如整体弱解,松弛极限和拟中性.松弛极限的一些新近数学结果.In this article we first introduce the relevant compensated compactness framework on the Euler equations for an isentropic compresssible fluid. Then some recent mathematical results based on the methods of compensated compactness to the hydrody-namic model for semiconductors such as global weak solutions and relaxation limits as well as quasineutral-relaxation limits are reviewed.

关 键 词：等熵可压缩Euler方程 补偿列紧框架 流体动力模型 半导体 超晶格 数学模型 弱解 松弛极限 

分 类 号：O351.2[理学—流体力学] O175.2[理学—力学]