Incompressible Boussinesq equations and borderline Besov spaces

2011/01/21 by Glenn-Levin, Jacob
#35Q35 (Primary) 76B03 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/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.

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