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arXiv · 1611.07944

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

Hasan Inci
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Abstract

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

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Hasan Inci. 2016-11-23. On the well-posedness of the inviscid 2D Boussinesq equation. https://arxiv.org/abs/1611.07944

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