| 广义Kac方程的解的渐近稳定性 |
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| 引用本文： | 晋守博,肖志涛,张光辉.广义Kac方程的解的渐近稳定性[J].大学数学,2010,26(4). |
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| 作者姓名： | 晋守博 肖志涛 张光辉 |
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| 基金项目： | 宿州学院硕士科研启动基金 |
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| 摘 要： | 讨论了碰撞核具有一定奇异性的广义Kac方程的解的唯一性和渐近稳定性,证明了广义Kac方程的解在概率距离下以指数形式快速收敛到函数δ(v).
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| 关 键 词： | 广义Kac方程 奇异性 渐近性 |
The Asymptotic Properties of the Generalized Kac Equation |
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| JIN Shou-bo,XIAO Zhi-tao,ZHANG Guang-hui.The Asymptotic Properties of the Generalized Kac Equation[J].College Mathematics,2010,26(4). |
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| Authors: | JIN Shou-bo XIAO Zhi-tao ZHANG Guang-hui |
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| Abstract: | This paper investigates uniqueness and convergence of the generalized Kac equation with some singular collision kernel. It is shown that the solution of the generalized Kac equation convergences towards a delta function δ(v) in terms of probability metric. |
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| Keywords: | generalized Kac equation singularity asymptotic |
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