Diffusion relaxation limit of a bipolar hydrodynamic model for semiconductors

作者：Li Yeping^*

来源：Journal of Mathematical Analysis and Applications, 2007, 336(2): 1341-1356.

DOI：10.1016/j.jmaa.2007.03.068

• relaxation limit
• bipolar isentropic models
• semiconductors
• H-s-solution
• energy estimates

In the paper, we discuss the relaxation limit of a bipolar isentropic hydrodynamical models for semiconductors with small momentum relaxation time. With the help of the Maxwell iteration, we prove that, as the relaxation time tends to zero, periodic initial-value problems of a scaled bipolar isentropic hydrodynamic model have unique smooth solutions existing in the time interval where the classical drift-diffusion model has smooth solutions. Meanwhile, we justify a formal derivation of the corresponding drift-diffusion model from the bipolar hydrodynamic model.

• 出版日期2007-12-15
• 单位湖北科技学院