APDE seminar@UPV/EHU: Strong ill-posedness in $L^{\infty} $ of the 2D Boussinesq equations

In this talk, I will present a recent work in which the strong ill-posedness of the two-dimensional Boussinesq system is proven. I will show explicit examples of initial data with vorticity and density gradient in $L^{\infty}(\mathbb{R}^2)$ for which the horizontal density gradient has a strong norm inflation in infinitesimal time. This is a joint work with Roberta Bianchini (CNR) and Lars Eric Hientzsch (Bielefeld University)