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arXiv · 2011.00607

Sharp dimension estimates of the attractor of the damped 2D Euler-Bardina equations

Alexei Ilyin·Sergey Zelik
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Abstract

We prove existence of the global attractor of the damped and driven 2D Euler--Bardina equations on the torus and give an explicit two-sided estimate of its dimension that is sharp as $\alpha\to0^+$.

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Alexei Ilyin, Sergey Zelik. 2020-11-01. Sharp dimension estimates of the attractor of the damped 2D Euler-Bardina equations. https://arxiv.org/abs/2011.00607

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