Sharp dimension estimates of the attractor of the damped 2D Euler–Bardina equations
Alexei A. IlyinKeldysh Institute of Applied Mathematics, Moscow, Russian Federation
Sergey ZelikKeldysh Institute of Applied Mathematics, Moscow, Russia; Lanzhou University, China; University of Surrey, Guildford, UK
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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 .