论文标题
关于将熵生产用于Landau-Fermi-Dirac方程
About the use of entropy production for the Landau-Fermi-Dirac equation
论文作者
论文摘要
在本文中，我们介绍了landau-fermi-dirac方程的熵耗散（具有强度或中等软势）的熵耗散，就适用于该方程的加权相对渔民信息而言。此类估计值用于研究方程式的较大时间行为，以及提供新的先验估计值（在软潜在情况下）。此类估计值的一个重要特征是它们相对于量子参数均匀。因此，对经典限制（即兰道方程）回收了相同的估计。
In this paper, we present new estimates for the entropy dissipation of the Landau-Fermi-Dirac equation (with hard or moderately soft potentials) in terms of a weighted relative Fisher information adapted to this equation. Such estimates are used for studying the large time behaviour of the equation, as well as for providing new a priori estimates (in the soft potential case). An important feature of such estimates is that they are uniform with respect to the quantum parameter. Consequently, the same estimations are recovered for the classical limit, that is the Landau equation.
