On a retarded PDE system for a von Kármán plate with thermal effects in the flow of gas

Анотація

We prove existence of a compact global attractor of finite fractal dimension and existence of a finite set of asymptotically determining functionals for a retarded PDE system for a von Kármán plate with thermal effects in the flow of gas. Moreover, we show that asymptotical dynamics of the entire system is determined by the dynamics of the single component u, which describes displacement of the plate.