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.
出处
《数学进展》
CSCD
北大核心
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)