On the stationary solutions of multi-dimensional bipolar hydrodynamic model of semiconductors

详细信息    查看全文

• 作者：Huimin Yu ^{hmyu@amss.ac.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Euler&ndash ; Poisson systems ; Bipolar multi-dimensional semiconductor device ; Stationary solution
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：64
• 期：Complete
• 页码：108-112
• 全文大小：704 K

文摘

In this note, we are interested in the existence and uniqueness of the steady solutions to N$N$-dimensional bipolar hydrodynamic model of semiconductors. Different from the unipolar case, the time-independent model is an elliptic equation with nonlocal terms. For N=1,2$N=1,2$, we achieve our goal by the calculus of variations, without any additional assumptions on the doping profile and the initial densities.