Analysis and Applied Mathematics Seminar
University of Notre Dame
The Boussinesq equations with vertical dissipation near the Couette flow
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.
Monday September 18, 2023 at 4:00 PM in 636 SEO