| 双极量子漂移-扩散模型弱解的整体存在性 |
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| 引用本文： | 董建伟.双极量子漂移-扩散模型弱解的整体存在性[J].湖南文理学院学报(自然科学版),2009,21(2):21-26. |
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| 作者姓名： | 董建伟 |
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| 作者单位： | 郑州航空工业管理学院,数理系,河南,郑州,450015
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| 基金项目： | 河南省高等学校青年骨干教师资助计划，郑州航空工业管理学院青年教师科研基金 |
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| 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.
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| 关 键 词： | 双极量子漂移-扩散模型 弱解 存在性 |
The global existence of weak solutions to bipolar quantum Drift-diffusion model |
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| DONG Jian-wei.The global existence of weak solutions to bipolar quantum Drift-diffusion model[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2009,21(2):21-26. |
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| Authors: | DONG Jian-wei |
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| Institution: | Department of Mathematics and Physics;Zhengzhou Institute of Aeronautical Industry Management;Zhengzhou;Henan;450015 |
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| Abstract: | The bipolar isothermal quantum drift-diffusion 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. |
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| Keywords: | Bipolar quantum drift-diffusion model weak solution existence |
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