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arXiv · 1407.1561

Stream lines, quasilines and holomorphic motions

Gaven J. Martin
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Abstract

We give a new application of the theory of holomorphic motions to the study the distortion of level lines of harmonic functions and stream lines of ideal planar fluid flow. In various settings, we show they are in fact quasilines - the quasiconformal images of the real line. These methods also provide quite explicit global estimates on the geometry of these curves.

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Gaven J. Martin. 2014-07-07. Stream lines, quasilines and holomorphic motions. https://arxiv.org/abs/1407.1561

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