[Distinguished Lecture] Compressible fluid flow driven by temperature gradient

时   间：  2022-01-06 17:00 — 18:00

The flow of a compressible fluid contained in a bounded domain is considered, with a prescribed temperature on the boundary. Thew iconic example is the Rayleigh-Benard problem. Asymptotic compactness as well as the existence of a bounded absorbing set is obtained. As corollaries, the following properties are established for global in time solutions:

（1）Existence of a trajectory attractor;
（2）Existence of stationary statistical solutions supported by omega-limit sets;
（3）Convergence of ergodic time averages and a conditional validity of ergodic hypothesis.