| Boltzmann方程的精确解 |
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| 引用本文： | 沈惠川.Boltzmann方程的精确解[J].应用数学和力学,1987,8(5):419-431. |
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| 作者姓名： | 沈惠川 |
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| 作者单位： | 中国科学技术大学 |
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| 摘 要： | 本文建立了非线性Boltzmann输运方程与线性AKNS方程之间的直接联系,从而以不同于Chapman,Enskog和Grad的方式,使Boltzmann方程化归为Dirac方程的求解。在没有其他外场作用的情形中,Boltzmann方程的精确解可以用逆散射方法来求得。
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| 收稿时间： | 1986-03-13 |
Exact Solution of the Boltzmann Equation |
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| Institution: | University of Science and Technology of China, Hefei |
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| Abstract: | We build up immediate connection between the nonlinear Boltzmann transport equation and the linear AKNS equation, and classify the Boltzmann equation as the Dirac equation by a new method for solving the Boltzmann equation out of keeping with the Chapman, Enskog and Grad's way in this paper. Without the effect of other external fields, the exact solution of the Boltzmann equation can be obtained by the inverse scattering method. |
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