The Boltzmann equation near Maxwellian in the whole space

The Boltzmann equation near Maxwellian in the whole space
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DOI:
10.3934/cpaa.2011.10.435
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发表时间:
2010-12
影响因子:
1
通讯作者:
X. Chai
X. Chai
中科院分区:
数学4区
文献类型:
--
作者:
X. Chai

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最近在[19,20]中引入的一种非线性能量方法导致在整个空间上构造Boltzmann方程的另一种接近Maxwell的整体解。此外,Boltzmann方程的解的最佳时间衰减,一致稳定性和最佳时间稳定性都是通过这样的能量方法获得的。
A recent nonlinear energy method introduced in [19, 20] leads to another construction global solutions near Maxwellian for the Boltzmann equation over the whole space. Moreover, the optimal time decay, uniform stability and the optimal time stability of the solutions to the Boltzmann equation are all obtained via such a energy method.