Publication: On the well-posedness of the inviscid 2D Boussinesq equation
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KU-Authors
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Language
English
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Abstract
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.
Source:
Zeitschrift fur Angewandte Mathematik und Physik
Publisher:
Birkhauser Verlag Ag
Keywords:
Subject
Mathematics, applied