The Semiclassical Limit in the Quantum Drift-Diffusion Equations with Isentropic Pressure  

作　　者：Li CHEN Qiangchang JU 

机构地区：[1]Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China. [2]Institute of Applied Physics and Computational Mathematics, P. O. Box 8009-28, Beijing 100088, China.

出　　处：《Chinese Annals of Mathematics,Series B》2008年第4期369-384,共16页数学年刊（B辑英文版）

基　　金：the National Natural Science Foundation of China(Nos.10401019,10701011,10541001)

摘　　要：The semiclassical limit in the transient quantum drift-diffusion equations with isentropic pressure in one space dimension is rigorously proved. The equations are supplemented with homogeneous Neumann boundary conditions. It is shown that the semiclassical limit of this solution solves the classical drift-diffusion model. In the meanwhile, the global existence of weak solutions is proved.

关 键 词：Quantum drift-diffusion Weak solution Semiclassical limit ISENTROPIC 

分 类 号：O17[理学—数学]