Incompressible Boussinesq equations and borderline Besov spaces

Details Incompressible Boussinesq equations and borderline Besov spaces Incompressible Boussinesq equations and borderline Besov spaces

2011-01-21

arxiv.org/abs/1101.4173v2

Mathematics

Analysis of PDEs

17 pages. Clarified statement of Theorem 2.5, fixed some unclear notation and several typos

Scientific paper

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.

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