Publication: 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 ) , θ(0 ) ) ↦ (u(T) , θ(T) ) , is nowhere locally uniformly continuous.
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Birkhäuser Verlag
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Mathematics, Partial differential equations, Fluid dynamics
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Zeitschrift für angewandte Mathematik und Physik
Journal of Applied Mathematics and Physics
Journal de Mathématiques et de Physique appliquées
Journal of Applied Mathematics and Physics
Journal de Mathématiques et de Physique appliquées
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10.1007/s00033-018-0998-6
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