Incompressible Boussinesq equations and borderline Besov spaces
arXiv:1101.4173
Abstract
We prove local-in-time existence and uniqueness of an inviscid Boussinesq-type system. We assume the density equation contains nonzero diffusion and that our initial vorticity and density belong to a space of borderline Besov type.
17 pages. Clarified statement of Theorem 2.5, fixed some unclear notation and several typos