| 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;内蒙古大学数学系,呼和浩特,010021;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 |
| 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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| Affiliation: | 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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