线性化二粒子Boltzmann方程组的积分算子的特征值,特征函数及其分布
Eigenvalues and Eigenfunctions of the Linearized Two-Particle Boltzmann Equation System and Its Distribution
摘要
推出了线性化二粒子Boltzmann方程组并且求出了线性化二粒子Boltzmann方程组的积分算子的特征值,特征函数及其分布.
The linearized two-particle Boltzmann equation system is derived.The eigenvalues and eigenfunctions of the integral operator which is derived from the linearized two-particle Boltzmann equation system are obtained.
出处
《内蒙古大学学报(自然科学版)》
CAS
CSCD
北大核心
2011年第6期648-653,共6页
Journal of Inner Mongolia University:Natural Science Edition
基金
国家自然科学基金(10861008)
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二级参考文献1
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1陈天权,内蒙古大学学报,1984年,15卷,1页
共引文献8
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1布仁满都拉,赵迎春.线性化二粒子Boltzmann方程组的特征值问题[J].赤峰学院学报(自然科学版),2010,26(12):23-24.
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2布仁满都拉,赵迎春.二粒子Boltzmann方程组的平衡解附近的解向平衡解衰减[J].赤峰学院学报(自然科学版),2011,27(3):24-25.
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3马镝,阿其拉图.湍流运动论中的化学反应速率扰动[J].数学的实践与认识,2011,41(13):127-136.
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4杨梅荣,阿其拉图,敖继军.二粒子Boltzmann方程组的奇异扰动解法[J].应用数学,2011,24(3):434-442. 被引量:3
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5赵光普,韩燕丽,阿其拉图.混合气体Boltzmann方程组的两组解的平均作为二粒子混合气体BBGGKY方程组列的解[J].内蒙古大学学报(自然科学版),2011,42(6):654-661.
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6田红晓.二粒子Boltzmann方程组初始层解的高级近似[J].阴山学刊(自然科学版),2013,27(2):13-15.
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7田红晓,刘全生,阿其拉图.二粒子Boltzmann方程组的初始层解[J].内蒙古大学学报(自然科学版),2013,44(4):357-361. 被引量:2
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8韩燕丽,田红晓,阿其拉图.二粒子Boltzmann方程组的奇异扰动解法:初始层解[J].应用数学学报,2013,36(5):910-922.