Papers of Sergey Zelik on attractors for the 3D damped Euler equations published in DCDS and Physica D

The paper “Trajectory attractors for 3D damped Euler equations and their approximation“, co-authored by Alexei Ilyin (Keldysh Institute, Moscow), Anna Kostianko (Imperial), and Sergey Zelik, has been published in the August 2022 issue of Discrete and Continuous Dynamical Systems, Series S (link here). The paper studies the global attractors for the damped 3D Euler–Bardina equations with the positive regularization parameter and positive Ekman damping coefficient beta, endowed with periodic boundary conditions as well as the damped Euler limit alpha=0. A second paper by the same authors, with title “Sharp upper and lower bounds of the attractor dimension for 3D damped Euler–Bardina equations” has been published in Physica D (link here). In this second paper, the dependence of the fractal dimension of global attractors for the damped 3D Euler–Bardina equations for positive regularization parameter and Ekman damping coefficient, is studied. The image below shows the top of the latter published paper.