On the well-posedness of the inviscid SQG equation

Hasan Inci

On the well-posedness of the inviscid SQG equation

Analysis of PDEs 2016-09-29 v2

Authors: Hasan Inci

Abstract

In this paper we consider the inviscid SQG 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, $\theta(0) \mapsto \theta(T)$ , is nowhere locally uniformly continuous.

Keywords

inviscid SQG equation well-posedness Sobolev spaces solution map uniform continuity

Cite

@article{arxiv.1609.08334,
  title  = {On the well-posedness of the inviscid SQG equation},
  author = {Hasan Inci},
  journal= {arXiv preprint arXiv:1609.08334},
  year   = {2016}
}

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