On the well-posedness of the inviscid 2D Boussinesq equation
Abstract
In this paper we consider the inviscid 2D Boussinesq equation on the Sobolev spaces Hs(2), s > 2. Using a geometric approach we show that for any T > 0 the corresponding solution map, (u(0),θ(0)) (u(T),θ(T)), is nowhere locally uniformly continuous.
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