Unconditional stability of equilibria in thermally driven compressible fluids

报告人：吕勇 教授（南京大学）

时  间：2025年9月27日（星期六），上午10:00-11:00

地  点：海纳苑2幢101

摘  要：We show that small perturbations of the spatially homogeneous equilibrium of a thermally driven compressible viscous fluid are globally stable. Specifically, any weak solution of the evolutionary Navier--Stokes--Fourier system driven by thermal convection converges to an equilibrium as time goes to infinity. The main difficulty to overcome is the fact the problem does not admit any obvious Lyapunov function. The result applies, in particular, to the Rayleigh-Benard convection problem.