On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications
On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications
复制标题
DOI：
10.1080/03605300008821513
复制
发表时间：
2000-01
影响因子：
1.9
通讯作者：
L. Desvillettes;C. Villani
中科院分区：
文献类型：
--
作者：
L. Desvillettes;C. Villani
我们找到了一个熵耗散的空间齐次朗道方程的硬势方面的熵本身的下界。我们推导出这个明确的估计收敛到平衡的速度为这个方程的解决方案。在所谓的超麦克斯韦势的情况下，收敛是指数的。我们还计算了在此设置中的相关线性算子的谱间隙的下界。
We find a lower bound for the entropy dissipation of the spatially homogeneous Landau equation with hard potentials in terms of the entropy itself. We deduce from this explicit estimates on the speed of convergence towards equilibrium for the solution of this equation. In the case of so-called overmaxwellian potentials, the convergence is exponential. We also compute a lower bound for the spectral gap of the associated linear operator in this setting.