| 作用在混合气体上的Lyapunov函数的性质 |
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| 引用本文： | 郭昶,阿其拉图,田红晓.作用在混合气体上的Lyapunov函数的性质[J].内蒙古大学学报(自然科学版),2007,38(3):257-262. |
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| 作者姓名： | 郭昶 阿其拉图 田红晓 |
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| 作者单位： | 内蒙古大学数学系,呼和浩特,010021 |
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| 摘 要： | 将Toscani G.和Bobylev AV.等人研究的单一气体中Lyapunov函数沿Boltzmann方程的解变化的性质推广到更一般的情形中,即,一元混合气体中去,得到不等式F((λ3/a3f1(λ/ac1))*(1/b3f2(1/bc2)))＜F(f1(c1)),这个不等式对于平面流和任意维的轴对称流都是成立的.
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| 关 键 词： | 李雅普诺夫函数 伪分子 Boltzmann方程 Lyapunov function pseudomolecule Boltzmann equation 作用 混合气体 Lyapunov Functions 函数 性质 Mixture valid plane axially symmetric solutions dimension introduced binary inequality extended general situation property Lyapunov functions time Boltzmann equation |
| 文章编号： | 1000-1638（2007）01-0257-06 |
| 修稿时间： | 2006-04-03 |
Property of Lyapunov Functions for Gas Mixture |
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| GUO Chang,Aqilatu,TIAN Hong-xiao.Property of Lyapunov Functions for Gas Mixture[J].Acta Scientiarum Naturalium Universitatis Neimongol,2007,38(3):257-262. |
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| Authors: | GUO Chang Aqilatu TIAN Hong-xiao |
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| Institution: | Department of Mathematics, In her Mongolia University, Hohhot 010021, China |
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| Abstract: | The property of Lyapunov functions in time along the solutions of the Boltzmann equation for Maxwellian pseudomolecules was obtained with a method by Toscani and Bobylev. This property will be extended to a more general situation. Namely, inequality F((aλ3/a3f1(λ/ac1))*(1/b3f2(1/bc2)))＜F(f1(c1)),will be introduced for binary gases of Maxwellian pseudomolecules. And this inequality is valid for plane velocities and for axially symmetric solution in any dimension. |
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| Keywords: | Lyapunov function pseudomoleeule Boltzmann equation |
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