Department of Mathematics2024-11-0920180044-227510.1007/s00033-018-0998-62-s2.0-85050130855http://dx.doi.org/10.1007/s00033-018-0998-6https://hdl.handle.net/20.500.14288/6899In 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.Mathematics, appliedJournal Article1420-9039439396300001Q112003