摘要
研究一维双极量子漂移-扩散等温模型,它是由两个非线性四阶抛物方程与一个泊松方程耦合而成的方程组,在Dirichlet边界条件下,利用半离散化方法与熵估计方法证明了其弱解的整体存在性.
The bipolar isothermal quantum driftdiffusion model in one space dimension was investigated, which was a system consists of two nonlinear fourth order parabolic equations coupled with a Poisson equation. By semidiscretization method and entropy estimate method, the global existence of weak solutions to the problem was proven under Dirichlet boundary conditions.
出处
《湖南文理学院学报（自然科学版）》
CAS
2009年第2期21-26,共6页
Journal of Hunan University of Arts and Science(Science and Technology)
基金
河南省高等学校青年骨干教师资助计划项目(2006110016)
郑州航空工业管理学院青年教师科研基金项目(Q05K066)
关键词
双极量子漂移-扩散模型
弱解
存在性
Bipolar quantum drift-diffusion model
weak solution
existence
