The classical limit to a bipolar quantum hydrodynamic model of semiconductors in a bounded domain

• Main Authors: KONG Haiyue, LI Yeping
• Format: Article
• Language: English
• Published: Academic Journals Center of Shanghai Normal University 2015-04-01
• Series: Journal of Shanghai Normal University (Natural Sciences)
• Subjects: bipolar; quantum hydrodynamic model; classical limit
• Online Access: http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/create_pdf.aspx?file_no=201502001&flag=1&year_id=2015&quarter_id=2

We consider a one-dimensional bipolar isentropic quantum hydrodynamical model from semiconductor devices.First,we discuss the classical limit of the stationary solution.Then we discuss the classical limit of the non-stationary initial boundary problem for a one-dimensional case in a bounded domain.We show that the solutions to the quantum hydrodynamic model of semiconductors approaches that to the hydrodynamic model of semiconductors as the scaled Planck constants <i>ε</i> tends to zero.