Academic lecture on "Sharp upper and lower bounds of the attractor dimension for 3D damped Euler-Bardina equations"

Time: 10:00am, April 25^th

Place:11-208

Lecturer: Anna Kostianko, Professor of Imperial College London

Content: The dependence of the fractal dimensionof global attractors for the damped 3D Euler-Bardina equations on the regularization parameter α＞0 and Ekman damping coefficient γ＞0 is studied. We present explicit upper bounds for this dimension for the case of the whole space, periodic dounndary conditions, and the case of bounded domain with Dirichlet boundary conditions. The sharpness of these estimates when α→0 andγ→0(which correspinds inthe limit to the classical Euler equations) is demonstrated on the 3D Kolmogorov flows on a torus.

Interested teachers and students are all welcomed!