学术报告(吕勇 2025.2.23)
Unconditional stability of equilibria in thermally driven compressible fluids
发布人:姚璐
发布日期:2025-02-20
主题
Unconditional stability of equilibria in thermally driven compressible fluids
活动时间
-
活动地址
震寰堂C218
主讲人
吕勇 教授(南京大学)
主持人
黄景炽 副教授
Abstract: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--B\' enard convection problem.