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arXiv · 2102.10563

Local Well-posedness of Two Dimensional SQG Equation and Related Models

Huan Yu·Wanwan Zhang
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Abstract

In this paper, we present a new and elementary proof of the local existence and uniqueness of the classical solution to the Cauchy problem of the two-dimensional generalized surface quasi-geostrophic (SQG) equation via the method of the contraction mapping principle. Also, same result holds true for a kind of transport equation with nonlocal velocity via the method of the contraction mapping principle.

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Huan Yu, Wanwan Zhang. 2021-02-21. Local Well-posedness of Two Dimensional SQG Equation and Related Models. https://arxiv.org/abs/2102.10563

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