BooksecrCollected Volumepp. 209–229

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

  • Alexei A. Ilyin

    Keldysh Institute of Applied Mathematics, Moscow, Russian Federation

  • Sergey Zelik

    Keldysh Institute of Applied Mathematics, Moscow, Russia; Lanzhou University, China; University of Surrey, Guildford, UK
Sharp dimension estimates of the attractor of the damped 2D Euler–Bardina equations cover
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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 .