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On the well-posedness of the inviscid 2D Boussinesq equation

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In this paper, we consider the inviscid 2D Boussinesq equation on the Sobolev spaces Hs(R2), s > 2. Using a geometric approach, we show that for any T > 0 the corresponding solution map, (u(0),theta(0))-> (u(T),theta(T)), is nowhere locally uniformly continuous.

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Birkhauser Verlag Ag

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Mathematics, applied

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Zeitschrift fur Angewandte Mathematik und Physik

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10.1007/s00033-018-0998-6

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