Attractors of nonautonomous dynamical systems and an estimation of their dimension
The authors introduce a conception of attractors for families of processes in Banach spaces and formulate sufficient conditions for the existence of such attractors. Furthermore, they state asymptotic (for \(k\to \infty)\) estimates for the Hausdorff dimension of attractors for the two dimensional Navier-Stokes system and for a class of reaction-diffusion systems, both with quasiperiodic right hand sides \(f(t)\), where \(k\) is the number of rational independent frequencies of \(f\).
scientific article; zbMATH DE number 525704