论文标题

旋转Navier-Stokes- $α$方程:希尔伯特和巴纳克空间的指数吸引子

Rotating Navier-Stokes-$α$ equations: Exponential Attractors in Hilbert and Banach Spaces

论文作者

Kim, Bong-Sik

论文摘要

本文涵盖了在两个不同的功能空间设置中的指数吸引子的构建;一个在希尔伯特的空间中,另一个在巴纳克空间中。前者依赖于溶液轨迹的挤压特性,但后者不存在。我们提出了使用三维旋转Navier-Stokes-$α$方程来构建指数吸引子的这些不同的方法。

This article covers the construction of exponential attractors in two different functional space settings; one is in Hilbert's space, and the other is in the Banach space. The former relies on the squeezing properties of solution trajectories, but the latter does not. We present these different methods for constructing exponential attractors using the three-dimensional Rotating Navier-Stokes-$α$ equations.

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