Stability of steady states in kinetic Fokker-Planck equations for Bosons and Fermions
Stability of steady states in kinetic Fokker-Planck equations for Bosons and Fermions
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DOI：
10.4310/cms.2007.v5.n4.a1
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发表时间：
2007-07
影响因子：
1
通讯作者：
L. Neumann;Christof Sparber
中科院分区：
文献类型：
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作者：
L. Neumann;Christof Sparber
本文研究了一类非线性动力学Fokker-Planck型方程，它们分别描述了服从玻色-爱因斯坦统计和费米-狄拉克统计的量子粒子。我们建立了扰动区域经典解的存在性，并证明了指数收敛于平衡点。Archive for November，2006
We study a class of nonlinear kinetic Fokker-Planck type equations modeling quantum particles which obey the Bose-Einstein and FermiDirac statistics, respectively. We establish the existence of classical solutions in the perturbative regime and prove exponential convergence towards the equilibrium. Version: November 6th, 2006