Asymptotic profile in a multi-dimensional stationary nonisentropic hydrodynamic semiconductor model

作者：Li Yeping^*

来源：Nonlinear Analysis: Real World Applications , 2007, 8(4): 1235-1251.

DOI：10.1016/j.nonrwa.2006.06.011

• asymptotic profile
• zero-electron-mass limit
• zero-relaxation-time limit
• quasi-neutral limit
• hydrodynamic model
• semiconductor

We study the irrotational subsonic stationary solutions of a multi-dimensional nonisentropic hydrodynamic model for semiconductor devices. This model consists of the continuous equations for the electron density, the electron current density and electron temperature, coupled the Poisson equation of the electrostatic potential. In some domain supplemented by the proper boundary conditions, we investigate the zero-electron- mass limit, the zero-relaxation-time limit and the Debye-length (quasi-neutral) limit, respectively. We show the strong convergence of the sequence of solutions and give the associated error estimates.

• 出版日期2007-9
• 单位复旦大学