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
A subscription is required to access this book chapter.
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 .