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

2020/11/01 by Ilyin, Alexei, Zelik, Sergey · 1 citation
#35B40 #35B41 #35Q31 #37L30 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2011.00607

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 α→0⁺.

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