Dimension estimates for the attractor of the regularized damped Euler equations on the sphere

Abstract

We prove existence of the global attractor of the damped and driven Euler--Bardina equations on the 2D sphere and on arbitrary domains on the sphere and give explicit estimates of its fractal dimension in terms of the physical parameters.

References in corpus (1)

• Sharp upper and lower bounds of the attractor dimension for 3D damped Euler-Bardina equations