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

Bong-Sik Kim

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arXiv · 2002.11917

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

Bong-Sik Kim

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Abstract

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-$\alpha$ equations.

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Bong-Sik Kim. 2020-02-27. Rotating Navier-Stokes-$\alpha$ equations: Exponential Attractors in Hilbert and Banach Spaces. https://arxiv.org/abs/2002.11917

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