论文标题
LIEB的应用 - 数学流体动力学中正常系统的训练和其他界限
Applications of the Lieb--Thirring and other bounds for orthonormal systems in mathematical hydrodynamics
论文作者
论文摘要
我们讨论了$ l^p $ norms $ l^2 $和$ h^1 $的函数系统系统的估计值，以及它们在为古典navier -Stokes方程的全球吸引力方程和$α$ -M-α$ -MMODELS近似the of the Grows吸引者的维度带来良好甚至最佳范围方面的重要作用。还给出了2D圆环上插值不平等的新应用。
We discuss the estimates for the $L^p$-norms of systems of functions that are orthonormal in $L^2$ and $H^1$, respectively, and their essential role in deriving good or even optimal bounds for the dimension of global attractors for the classical Navier--Stokes equations and for a class of $α$-models approximating them. New applications to interpolation inequalities on the 2D torus are also given.
