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| 具有吸收-反射边界的Boltzmann-Poisson输运模型的整体弱解 | |
| 引用本文： | 崔国忠,江成顺,任华国.具有吸收-反射边界的Boltzmann-Poisson输运模型的整体弱解[J].数学学报,2003,46(5):857-864. |
| 作者姓名： | 崔国忠 江成顺 任华国 |
| 作者单位： | 1. 信息工程大学理学院数理系,郑州,450001 2. 信息工程大学信息工程学院应用数学系,郑州,450002 3. 平顶山工学院测量与国土信息系,平顶山,467001 |
| 基金项目： | 河南省自然科学基金，河南省杰出青年基金(0016) |
| 摘 要： | 本文研究具有吸收-反射边界的Boltzmann-Poisson输运模型的初这值问题,并利用速度平均的稳定性和L~1空间紧致性理论,在较弱的初边值条件下,证明了其整体弱解的存在性。 |
| 关 键 词： | 整体弱解 Boltzmann-Poisson方程组 初边值问题 |
| 文章编号： | 0583-1431(2003)05-0857-08 |
| 修稿时间： | 2001年6月18日 |
The Global Weak Solutions of Boltzmann-Poisson Transport Model with Absorbing-Reflection Boundary |
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| Quo Zhong CUI.The Global Weak Solutions of Boltzmann-Poisson Transport Model with Absorbing-Reflection Boundary[J].Acta Mathematica Sinica,2003,46(5):857-864. | |
| Authors: | Quo Zhong CUI |
| Affiliation: | Quo Zhong CUI (Department of Mathematics & Physies, College of Science, Information Engineering University, Zhengzhou 450001, P. R. China) Cheng Shun JIANG (Department of Applied Mathematics, College of Information Engineering, Information Engineering University, Zhengzhou 450002, P. R. China) Hua Quo REN (Department of Surveying & Country Information, Pingdingshan Institute of Technology, Pingdingshan 467001, P. R. China) |
| Abstract: | This paper deals with the initial boundary value problem of Boltzmann-Poisson system with absorbing-reflection boundary. The global existence of weak solutions is proved by using the stability of velocity averages and the compactness results of L1-theory under weaker conditions of the initial boundary value. |
| Keywords: | Global weak solutions Boltzmann-Poisson system Initial boundary value problem |
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