Blow Up Of A Hyperbolic SQG Model
Analysis of PDEs
2017-11-06 v1
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.
Keywords
Cite
@article{arxiv.1711.01255,
title = {Blow Up Of A Hyperbolic SQG Model},
author = {Hang Yang},
journal= {arXiv preprint arXiv:1711.01255},
year = {2017}
}