Convergence rate for the Boltzmann and Landau equations with soft potentials

Convergence rate for the Boltzmann and Landau equations with soft potentials
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DOI:
10.1017/s0308210507001060
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发表时间:
2009-03
期刊:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
影响因子:
--
通讯作者:
Hongjun Yu
Hongjun Yu
中科院分区:
其他
文献类型:
--
作者:
Hongjun Yu

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玻尔兹曼和朗道方程是统计物理学和等离子体物理学中的经典模型。我们得到了具有软势的Boltzmann和Landau方程在整个空间中的全局经典解的令人满意的存在性。还获得了此类解的麦克斯韦收敛率。
The Boltzmann and Landau equations are the classical models in statistical physics and plasma physics. We obtain the satisfactory existence of global classical solutions to the Boltzmann and Landau equations with soft potentials in the whole space. The convergence rate to Maxwellians for such solutions is also obtained.