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arXiv · 1711.01255

Blow Up Of A Hyperbolic SQG Model

Hang Yang
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Abstract

This paper studies of a variation of the hyperbolic blow up scenario suggested by Hou and Luo's recent numerical simulation [12]. In particular, we propose a "hyperbolic" surface quasi-geostrophic equation characterized by a incompressible velocity field with a modified Biot-Savart law. For this model, we will show Finite time blow up for a wide class of initial data.

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Hang Yang. 2017-11-03. Blow Up Of A Hyperbolic SQG Model. https://arxiv.org/abs/1711.01255

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