Analysis and Applied Mathematics Seminar

Jiahong Wu
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
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