具有吸收-反射边界的Boltzmann-Poisson输运模型的整体弱解

崔国忠;江成顺;任华国

数学学报 ›› 2003, Vol. 46 ›› Issue (5) : 857-864.

数学学报 ›› 2003, Vol. 46 ›› Issue (5) : 857-864. DOI: 10.12386/A2003sxxb0114
论文

具有吸收-反射边界的Boltzmann-Poisson输运模型的整体弱解

    崔国忠;江成顺;任华国
作者信息 +

The Global Weak Solutions of Boltzmann-Poisson Transport Model with Absorbing-Reflection Boundary

    Guo Zhong CUI(1),Cheng Shun JI
Author information +
文章历史 +

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。

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.

关键词

Boltzmann-Poisson方程组 / 整体弱解 / 初边值问题

引用本文

导出引用
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. 数学学报, 2003, 46(5): 857-864 https://doi.org/10.12386/A2003sxxb0114
Guo Zhong CUI(1),Cheng Shun JI. The Global Weak Solutions of Boltzmann-Poisson Transport Model with Absorbing-Reflection Boundary. Acta Mathematica Sinica, Chinese Series, 2003, 46(5): 857-864 https://doi.org/10.12386/A2003sxxb0114

Accesses

Citation

Detail

段落导航
相关文章

/