Jiahong Wu : The Boussinesq equations with vertical dissipation near the Couette flow

Posted by Liet Vo , part of the Analysis and Applied Mathematics Seminar.

At

Sept. 18, 2023, 4 p.m.

In

636 SEO

Abstract

The Boussinesq equations concerned here model buoyancy-driven fluids such as various atmospheric and oceanographic flows, and the Rayleigh-Benard convection. This talk presents recent stability results on the Boussinesq equations with partial dissipation near the Couette flow. We are able to prove the nonlinear stability and large-time behavior results by exploiting the enhanced dissipation created by a linear non-self-adjoint operator. This is a joint work with Wen Deng and Ping Zhang. If time permits, we will briefly mention stability results concerning the hydrostatic balance.