Title:Stability and Long-Time Behavior of the Boussinesq System Near Hydrostatic and Couette Flows

Speaker:Jiahong Wu(Professor)

Time:  June 15,  2026, 09:20-10:20

Venue: Room 3A02, Building No. 37, Wushan Campus

Abstract: 

The Boussinesq equations are fundamental models for buoyancy-driven fluid flows, capturing the interplay between buoyancy, shear, and diffusion. In this talk, I will discuss recent results on the stability and large-time behavior of solutions near hydrostatic equilibrium states and the Couette flow. We examine how stratification and shear induce stabilizing mechanisms, including wave propagation and enhanced dissipation, which suppress instabilities and lead to decay of perturbations over time.