Hierarchy analysis on semiconductor quasi-hydrodynamic models : stationary case
胡海丰 博士 (华师大PDE中心博士后)
2017年3月21日(周二)下午 1:00-4:00 闵行校区行政楼12楼PDE中心1202报告厅
Abstract. In this talk, we present a model hierarchy of semiconductor quasi-hydrodynamic models with small parameters. The models involved start from the full quantum hydrodynamic model to the drift-diffusion model. In one-dimensional bounded domain, we give a complete existence theory and a rigorous justification of the relaxation-time limit and the semi-classical limit of the corresponding stationary models with physical boundary condition. The proof is based on various fixed-point theorems and unified energy estimates which are valid for all the parameters. The strong convergence of the related asymptotic sequence of solutions and the corresponding convergence rate are obtained.