| Boltzmann-Poisson方程组初边值问题的整体弱解 |
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| 引用本文： | 徐继军,郭瑞强,崔国忠. Boltzmann-Poisson方程组初边值问题的整体弱解[J]. 数学季刊, 2003, 18(3): 302-309 |
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| 作者姓名： | 徐继军 郭瑞强 崔国忠 |
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| 作者单位： | [1]DepartmentofMathematics,ZhengzhouTeacher‘sCollege,Zhengzhou450052,China [2]DepartmentofBasicCourses,HenanNationalitySchool,Zhengzhou450005,China [3]DepartmentofAppliedMathemat-ics,UniversityofInformationandEngineering,Zhengzhou450002,Chitin |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofHenanProvince( 0 1110 514 0 0 ) |
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| 摘 要： | § 1. Introduction LetΩ R3beasmoothboundedopenset,f(t,x ,v)bethedistributionfunctionofcar riersattimet >0 ,positionvectorx∈Ωandvelocityvectorv∈R3.Theforcefieldactingonthecarriersisdenotedbythe3 dimensionalvectorfunctionE(t,x) ,thepotentialcorespondingtoE(t,x)isdenotedbyu(t,x) ,then (f,E)satisfythefollowingBoltzmann Poissonsystem tf +v· xf +E· vf =Q(f) , (t,x ,v)∈R+ ×Ω×R3,(1 .1 )E =- xu ,-Δxu =ρ , (t,x) ∈R+ ×Ω ,(1 .2 )whereρ(t,x) =∫R3 f(t,x ,v)dvisthecarriernum…
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| 关 键 词： | 弱解 初边值问题 Boltzmann-Poisson方程组 全局存在性 L^1理论 稳定性 正则化 |
The Weak Solutions to Initial Boundary Value Problem for Boltzmann-Poisson System |
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| XU Ji-jun,GUO Rui-qiang,CUI Guo-zhong. The Weak Solutions to Initial Boundary Value Problem for Boltzmann-Poisson System[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(3): 302-309 |
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| Authors: | XU Ji-jun GUO Rui-qiang CUI Guo-zhong |
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| Abstract: | In this paper, the global existence of weak solutions to the initial boundary value problem for Boltzmann-Poisson system is proved. The proof is based on the regularization and the stability of the velocity averages and the compactness results on L^1 -theory. |
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| Keywords: | weak solution global existence system Boltzmann- Poisson equations initial boundary value problem |
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