Strong ill-posedness of the 2D Boussinesq equations in supercritical Besov spaces

Jinlu Li, Yanghai Yu

In this paper, we prove that the 2D Boussinesq equations are strongly ill-posed in the supercritical Besov spaces $B_{p,q}^s$ and Sobolev spaces $W^{s,p}$ with $(p,q)\in(1,\infty)\…